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Finding the Fourth Proportional to 9,099.15, 13,646.43 and 6,458.91

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Solution

The fourth proportional to 9,099.15, 13,646.43 and 6,458.91 is: 9,686.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099.15 : 13,646.43 = 6,458.91 : x
  2. Step 2: Convert to fraction form
    9,099.15/13,646.43 = 6,458.91/x
  3. Step 3: Cross multiply
    9,099.15x = 13,646.43 × 6,458.91
  4. Step 4: Simplify right side
    9,099.15x = 88,141,063.19
  5. Step 5: Solve for x
    x = 88,141,063.19/9,099.15
  6. Step 6: Final answer
    x = 9,686.74

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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.