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Finding the Fourth Proportional to 9,282.53, 12,809.10 and 5,302.87

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Solution

The fourth proportional to 9,282.53, 12,809.10 and 5,302.87 is: 7,317.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.53 : 12,809.10 = 5,302.87 : x
  2. Step 2: Convert to fraction form
    9,282.53/12,809.10 = 5,302.87/x
  3. Step 3: Cross multiply
    9,282.53x = 12,809.10 × 5,302.87
  4. Step 4: Simplify right side
    9,282.53x = 67,924,979.98
  5. Step 5: Solve for x
    x = 67,924,979.98/9,282.53
  6. Step 6: Final answer
    x = 7,317.51

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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.