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Finding the Fourth Proportional to 9,602.52, 13,251.46 and 5,623.44

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Solution

The fourth proportional to 9,602.52, 13,251.46 and 5,623.44 is: 7,760.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.52 : 13,251.46 = 5,623.44 : x
  2. Step 2: Convert to fraction form
    9,602.52/13,251.46 = 5,623.44/x
  3. Step 3: Cross multiply
    9,602.52x = 13,251.46 × 5,623.44
  4. Step 4: Simplify right side
    9,602.52x = 74,518,790.22
  5. Step 5: Solve for x
    x = 74,518,790.22/9,602.52
  6. Step 6: Final answer
    x = 7,760.34

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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.