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Finding the Fourth Proportional to 11,472.55, 15,823.95 and 9,766.69

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Solution

The fourth proportional to 11,472.55, 15,823.95 and 9,766.69 is: 13,471.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,472.55 : 15,823.95 = 9,766.69 : x
  2. Step 2: Convert to fraction form
    11,472.55/15,823.95 = 9,766.69/x
  3. Step 3: Cross multiply
    11,472.55x = 15,823.95 × 9,766.69
  4. Step 4: Simplify right side
    11,472.55x = 154,547,614.23
  5. Step 5: Solve for x
    x = 154,547,614.23/11,472.55
  6. Step 6: Final answer
    x = 13,471.08

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