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Finding the Fourth Proportional to 9,709.07, 14,497.76 and 7,712.29

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Solution

The fourth proportional to 9,709.07, 14,497.76 and 7,712.29 is: 11,516.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.07 : 14,497.76 = 7,712.29 : x
  2. Step 2: Convert to fraction form
    9,709.07/14,497.76 = 7,712.29/x
  3. Step 3: Cross multiply
    9,709.07x = 14,497.76 × 7,712.29
  4. Step 4: Simplify right side
    9,709.07x = 111,810,854.66
  5. Step 5: Solve for x
    x = 111,810,854.66/9,709.07
  6. Step 6: Final answer
    x = 11,516.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.