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Finding the Fourth Proportional to 6,784,317.58, 9,362,449.54 and 3,686,902.42

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Solution

The fourth proportional to 6,784,317.58, 9,362,449.54 and 3,686,902.42 is: 5,087,974.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784,317.58 : 9,362,449.54 = 3,686,902.42 : x
  2. Step 2: Convert to fraction form
    6,784,317.58/9,362,449.54 = 3,686,902.42/x
  3. Step 3: Cross multiply
    6,784,317.58x = 9,362,449.54 × 3,686,902.42
  4. Step 4: Simplify right side
    6,784,317.58x = 34,518,437,819,341.64
  5. Step 5: Solve for x
    x = 34,518,437,819,341.64/6,784,317.58
  6. Step 6: Final answer
    x = 5,087,974.94

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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.