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Finding the Fourth Proportional to 9,686.97, 13,342.56 and 7,444.55

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Solution

The fourth proportional to 9,686.97, 13,342.56 and 7,444.55 is: 10,253.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.97 : 13,342.56 = 7,444.55 : x
  2. Step 2: Convert to fraction form
    9,686.97/13,342.56 = 7,444.55/x
  3. Step 3: Cross multiply
    9,686.97x = 13,342.56 × 7,444.55
  4. Step 4: Simplify right side
    9,686.97x = 99,329,360.49
  5. Step 5: Solve for x
    x = 99,329,360.49/9,686.97
  6. Step 6: Final answer
    x = 10,253.91

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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.