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Finding the Fourth Proportional to 9,711.78, 14,572.53 and 4,775.64

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Solution

The fourth proportional to 9,711.78, 14,572.53 and 4,775.64 is: 7,165.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.78 : 14,572.53 = 4,775.64 : x
  2. Step 2: Convert to fraction form
    9,711.78/14,572.53 = 4,775.64/x
  3. Step 3: Cross multiply
    9,711.78x = 14,572.53 × 4,775.64
  4. Step 4: Simplify right side
    9,711.78x = 69,593,157.17
  5. Step 5: Solve for x
    x = 69,593,157.17/9,711.78
  6. Step 6: Final answer
    x = 7,165.85

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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.