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Finding the Fourth Proportional to 9,083.04, 12,530.52 and 5,938.80

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Solution

The fourth proportional to 9,083.04, 12,530.52 and 5,938.80 is: 8,192.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,083.04 : 12,530.52 = 5,938.80 : x
  2. Step 2: Convert to fraction form
    9,083.04/12,530.52 = 5,938.80/x
  3. Step 3: Cross multiply
    9,083.04x = 12,530.52 × 5,938.80
  4. Step 4: Simplify right side
    9,083.04x = 74,416,252.18
  5. Step 5: Solve for x
    x = 74,416,252.18/9,083.04
  6. Step 6: Final answer
    x = 8,192.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.