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Finding the Fourth Proportional to 9,225.60, 13,833.92 and 4,294.08

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Solution

The fourth proportional to 9,225.60, 13,833.92 and 4,294.08 is: 6,439.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.60 : 13,833.92 = 4,294.08 : x
  2. Step 2: Convert to fraction form
    9,225.60/13,833.92 = 4,294.08/x
  3. Step 3: Cross multiply
    9,225.60x = 13,833.92 × 4,294.08
  4. Step 4: Simplify right side
    9,225.60x = 59,403,959.19
  5. Step 5: Solve for x
    x = 59,403,959.19/9,225.60
  6. Step 6: Final answer
    x = 6,439.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.