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Finding the Fourth Proportional to 9,875.32, 13,633.14 and 7,854.76

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Solution

The fourth proportional to 9,875.32, 13,633.14 and 7,854.76 is: 10,843.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875.32 : 13,633.14 = 7,854.76 : x
  2. Step 2: Convert to fraction form
    9,875.32/13,633.14 = 7,854.76/x
  3. Step 3: Cross multiply
    9,875.32x = 13,633.14 × 7,854.76
  4. Step 4: Simplify right side
    9,875.32x = 107,085,042.75
  5. Step 5: Solve for x
    x = 107,085,042.75/9,875.32
  6. Step 6: Final answer
    x = 10,843.70

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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.