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Finding the Fourth Proportional to 9,282.60, 12,809.75 and 5,304.08

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Solution

The fourth proportional to 9,282.60, 12,809.75 and 5,304.08 is: 7,319.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.60 : 12,809.75 = 5,304.08 : x
  2. Step 2: Convert to fraction form
    9,282.60/12,809.75 = 5,304.08/x
  3. Step 3: Cross multiply
    9,282.60x = 12,809.75 × 5,304.08
  4. Step 4: Simplify right side
    9,282.60x = 67,943,944.28
  5. Step 5: Solve for x
    x = 67,943,944.28/9,282.60
  6. Step 6: Final answer
    x = 7,319.49

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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.