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Finding the Fourth Proportional to 10,135.17, 13,992.71 and 9,507.69

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Solution

The fourth proportional to 10,135.17, 13,992.71 and 9,507.69 is: 13,126.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,135.17 : 13,992.71 = 9,507.69 : x
  2. Step 2: Convert to fraction form
    10,135.17/13,992.71 = 9,507.69/x
  3. Step 3: Cross multiply
    10,135.17x = 13,992.71 × 9,507.69
  4. Step 4: Simplify right side
    10,135.17x = 133,038,301.40
  5. Step 5: Solve for x
    x = 133,038,301.40/10,135.17
  6. Step 6: Final answer
    x = 13,126.40

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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.