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Finding the Fourth Proportional to 6,397.18, 9,580.90 and 6,175.46

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Solution

The fourth proportional to 6,397.18, 9,580.90 and 6,175.46 is: 9,248.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.18 : 9,580.90 = 6,175.46 : x
  2. Step 2: Convert to fraction form
    6,397.18/9,580.90 = 6,175.46/x
  3. Step 3: Cross multiply
    6,397.18x = 9,580.90 × 6,175.46
  4. Step 4: Simplify right side
    6,397.18x = 59,166,464.71
  5. Step 5: Solve for x
    x = 59,166,464.71/6,397.18
  6. Step 6: Final answer
    x = 9,248.84

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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.