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Finding the Fourth Proportional to 9,281.61, 12,809.39 and 5,303.97

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Solution

The fourth proportional to 9,281.61, 12,809.39 and 5,303.97 is: 7,319.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.61 : 12,809.39 = 5,303.97 : x
  2. Step 2: Convert to fraction form
    9,281.61/12,809.39 = 5,303.97/x
  3. Step 3: Cross multiply
    9,281.61x = 12,809.39 × 5,303.97
  4. Step 4: Simplify right side
    9,281.61x = 67,940,593.76
  5. Step 5: Solve for x
    x = 67,940,593.76/9,281.61
  6. Step 6: Final answer
    x = 7,319.91

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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.