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Finding the Fourth Proportional to 9,872.88, 13,624.57 and 5,681.13

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Solution

The fourth proportional to 9,872.88, 13,624.57 and 5,681.13 is: 7,839.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872.88 : 13,624.57 = 5,681.13 : x
  2. Step 2: Convert to fraction form
    9,872.88/13,624.57 = 5,681.13/x
  3. Step 3: Cross multiply
    9,872.88x = 13,624.57 × 5,681.13
  4. Step 4: Simplify right side
    9,872.88x = 77,402,953.36
  5. Step 5: Solve for x
    x = 77,402,953.36/9,872.88
  6. Step 6: Final answer
    x = 7,839.96

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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.