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Finding the Fourth Proportional to 9,709.17, 13,437.15 and 9,476.25

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Solution

The fourth proportional to 9,709.17, 13,437.15 and 9,476.25 is: 13,114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.17 : 13,437.15 = 9,476.25 : x
  2. Step 2: Convert to fraction form
    9,709.17/13,437.15 = 9,476.25/x
  3. Step 3: Cross multiply
    9,709.17x = 13,437.15 × 9,476.25
  4. Step 4: Simplify right side
    9,709.17x = 127,333,792.69
  5. Step 5: Solve for x
    x = 127,333,792.69/9,709.17
  6. Step 6: Final answer
    x = 13,114.80

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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.