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Finding the Fourth Proportional to 9,709.56, 14,564.50 and 2,784.06

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Solution

The fourth proportional to 9,709.56, 14,564.50 and 2,784.06 is: 4,176.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.56 : 14,564.50 = 2,784.06 : x
  2. Step 2: Convert to fraction form
    9,709.56/14,564.50 = 2,784.06/x
  3. Step 3: Cross multiply
    9,709.56x = 14,564.50 × 2,784.06
  4. Step 4: Simplify right side
    9,709.56x = 40,548,441.87
  5. Step 5: Solve for x
    x = 40,548,441.87/9,709.56
  6. Step 6: Final answer
    x = 4,176.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.