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Finding the Fourth Proportional to 9,882.74, 13,638.14 and 5,345.40

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Solution

The fourth proportional to 9,882.74, 13,638.14 and 5,345.40 is: 7,376.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.74 : 13,638.14 = 5,345.40 : x
  2. Step 2: Convert to fraction form
    9,882.74/13,638.14 = 5,345.40/x
  3. Step 3: Cross multiply
    9,882.74x = 13,638.14 × 5,345.40
  4. Step 4: Simplify right side
    9,882.74x = 72,901,313.56
  5. Step 5: Solve for x
    x = 72,901,313.56/9,882.74
  6. Step 6: Final answer
    x = 7,376.63

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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.