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Finding the Fourth Proportional to 9,909.72, 14,841 and 7,566.84

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Solution

The fourth proportional to 9,909.72, 14,841 and 7,566.84 is: 11,332.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.72 : 14,841 = 7,566.84 : x
  2. Step 2: Convert to fraction form
    9,909.72/14,841 = 7,566.84/x
  3. Step 3: Cross multiply
    9,909.72x = 14,841 × 7,566.84
  4. Step 4: Simplify right side
    9,909.72x = 112,299,472.44
  5. Step 5: Solve for x
    x = 112,299,472.44/9,909.72
  6. Step 6: Final answer
    x = 11,332.25

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