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Finding the Fourth Proportional to 8,957.65, 13,431.84 and 4,023.06

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Solution

The fourth proportional to 8,957.65, 13,431.84 and 4,023.06 is: 6,032.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,957.65 : 13,431.84 = 4,023.06 : x
  2. Step 2: Convert to fraction form
    8,957.65/13,431.84 = 4,023.06/x
  3. Step 3: Cross multiply
    8,957.65x = 13,431.84 × 4,023.06
  4. Step 4: Simplify right side
    8,957.65x = 54,037,098.23
  5. Step 5: Solve for x
    x = 54,037,098.23/8,957.65
  6. Step 6: Final answer
    x = 6,032.51

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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.