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Finding the Fourth Proportional to 9,358.56, 14,035.10 and 7,711.02

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Solution

The fourth proportional to 9,358.56, 14,035.10 and 7,711.02 is: 11,564.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,358.56 : 14,035.10 = 7,711.02 : x
  2. Step 2: Convert to fraction form
    9,358.56/14,035.10 = 7,711.02/x
  3. Step 3: Cross multiply
    9,358.56x = 14,035.10 × 7,711.02
  4. Step 4: Simplify right side
    9,358.56x = 108,224,898.25
  5. Step 5: Solve for x
    x = 108,224,898.25/9,358.56
  6. Step 6: Final answer
    x = 11,564.27

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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.