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Finding the Fourth Proportional to 9,276.87, 12,802.71 and 5,242.30

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Solution

The fourth proportional to 9,276.87, 12,802.71 and 5,242.30 is: 7,234.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,276.87 : 12,802.71 = 5,242.30 : x
  2. Step 2: Convert to fraction form
    9,276.87/12,802.71 = 5,242.30/x
  3. Step 3: Cross multiply
    9,276.87x = 12,802.71 × 5,242.30
  4. Step 4: Simplify right side
    9,276.87x = 67,115,646.63
  5. Step 5: Solve for x
    x = 67,115,646.63/9,276.87
  6. Step 6: Final answer
    x = 7,234.73

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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.