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Finding the Fourth Proportional to 8,689.68, 13,011.84 and 6,097.68

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Solution

The fourth proportional to 8,689.68, 13,011.84 and 6,097.68 is: 9,130.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,689.68 : 13,011.84 = 6,097.68 : x
  2. Step 2: Convert to fraction form
    8,689.68/13,011.84 = 6,097.68/x
  3. Step 3: Cross multiply
    8,689.68x = 13,011.84 × 6,097.68
  4. Step 4: Simplify right side
    8,689.68x = 79,342,036.53
  5. Step 5: Solve for x
    x = 79,342,036.53/8,689.68
  6. Step 6: Final answer
    x = 9,130.61

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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.