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Finding the Fourth Proportional to 9,952.59, 14,938.71 and 7,312.70

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Solution

The fourth proportional to 9,952.59, 14,938.71 and 7,312.70 is: 10,976.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.59 : 14,938.71 = 7,312.70 : x
  2. Step 2: Convert to fraction form
    9,952.59/14,938.71 = 7,312.70/x
  3. Step 3: Cross multiply
    9,952.59x = 14,938.71 × 7,312.70
  4. Step 4: Simplify right side
    9,952.59x = 109,242,304.62
  5. Step 5: Solve for x
    x = 109,242,304.62/9,952.59
  6. Step 6: Final answer
    x = 10,976.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.