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Finding the Fourth Proportional to 9,242.69, 12,756.23 and 5,264.17

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Solution

The fourth proportional to 9,242.69, 12,756.23 and 5,264.17 is: 7,265.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.69 : 12,756.23 = 5,264.17 : x
  2. Step 2: Convert to fraction form
    9,242.69/12,756.23 = 5,264.17/x
  3. Step 3: Cross multiply
    9,242.69x = 12,756.23 × 5,264.17
  4. Step 4: Simplify right side
    9,242.69x = 67,151,026.17
  5. Step 5: Solve for x
    x = 67,151,026.17/9,242.69
  6. Step 6: Final answer
    x = 7,265.31

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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.