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Finding the Fourth Proportional to 8,957.60, 13,443.18 and 6,457.58

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Solution

The fourth proportional to 8,957.60, 13,443.18 and 6,457.58 is: 9,691.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,957.60 : 13,443.18 = 6,457.58 : x
  2. Step 2: Convert to fraction form
    8,957.60/13,443.18 = 6,457.58/x
  3. Step 3: Cross multiply
    8,957.60x = 13,443.18 × 6,457.58
  4. Step 4: Simplify right side
    8,957.60x = 86,810,410.30
  5. Step 5: Solve for x
    x = 86,810,410.30/8,957.60
  6. Step 6: Final answer
    x = 9,691.26

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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.