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Finding the Fourth Proportional to 9,784,774.80, 13,503,437.64 and 5,433,880.50

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Solution

The fourth proportional to 9,784,774.80, 13,503,437.64 and 5,433,880.50 is: 7,499,004.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784,774.80 : 13,503,437.64 = 5,433,880.50 : x
  2. Step 2: Convert to fraction form
    9,784,774.80/13,503,437.64 = 5,433,880.50/x
  3. Step 3: Cross multiply
    9,784,774.80x = 13,503,437.64 × 5,433,880.50
  4. Step 4: Simplify right side
    9,784,774.80x = 73,376,066,474,962.02
  5. Step 5: Solve for x
    x = 73,376,066,474,962.02/9,784,774.80
  6. Step 6: Final answer
    x = 7,499,004.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.