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Finding the Fourth Proportional to 9,425.52, 13,006.98 and 5,233.50

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Solution

The fourth proportional to 9,425.52, 13,006.98 and 5,233.50 is: 7,222.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,425.52 : 13,006.98 = 5,233.50 : x
  2. Step 2: Convert to fraction form
    9,425.52/13,006.98 = 5,233.50/x
  3. Step 3: Cross multiply
    9,425.52x = 13,006.98 × 5,233.50
  4. Step 4: Simplify right side
    9,425.52x = 68,072,029.83
  5. Step 5: Solve for x
    x = 68,072,029.83/9,425.52
  6. Step 6: Final answer
    x = 7,222.10

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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.