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Finding the Fourth Proportional to 9,585.60, 13,224.48 and 7,073.76

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Solution

The fourth proportional to 9,585.60, 13,224.48 and 7,073.76 is: 9,759.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.60 : 13,224.48 = 7,073.76 : x
  2. Step 2: Convert to fraction form
    9,585.60/13,224.48 = 7,073.76/x
  3. Step 3: Cross multiply
    9,585.60x = 13,224.48 × 7,073.76
  4. Step 4: Simplify right side
    9,585.60x = 93,546,797.64
  5. Step 5: Solve for x
    x = 93,546,797.64/9,585.60
  6. Step 6: Final answer
    x = 9,759.10

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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.