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Finding the Fourth Proportional to 9,931.59, 13,705.53 and 5,952.71

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Solution

The fourth proportional to 9,931.59, 13,705.53 and 5,952.71 is: 8,214.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,931.59 : 13,705.53 = 5,952.71 : x
  2. Step 2: Convert to fraction form
    9,931.59/13,705.53 = 5,952.71/x
  3. Step 3: Cross multiply
    9,931.59x = 13,705.53 × 5,952.71
  4. Step 4: Simplify right side
    9,931.59x = 81,584,976.96
  5. Step 5: Solve for x
    x = 81,584,976.96/9,931.59
  6. Step 6: Final answer
    x = 8,214.69

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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.