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Finding the Fourth Proportional to 9,585.59, 13,232.88 and 7,427.29

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Solution

The fourth proportional to 9,585.59, 13,232.88 and 7,427.29 is: 10,253.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.59 : 13,232.88 = 7,427.29 : x
  2. Step 2: Convert to fraction form
    9,585.59/13,232.88 = 7,427.29/x
  3. Step 3: Cross multiply
    9,585.59x = 13,232.88 × 7,427.29
  4. Step 4: Simplify right side
    9,585.59x = 98,284,437.30
  5. Step 5: Solve for x
    x = 98,284,437.30/9,585.59
  6. Step 6: Final answer
    x = 10,253.35

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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.