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Finding the Fourth Proportional to 9,425.48, 13,006.23 and 5,648.58

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Solution

The fourth proportional to 9,425.48, 13,006.23 and 5,648.58 is: 7,794.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,425.48 : 13,006.23 = 5,648.58 : x
  2. Step 2: Convert to fraction form
    9,425.48/13,006.23 = 5,648.58/x
  3. Step 3: Cross multiply
    9,425.48x = 13,006.23 × 5,648.58
  4. Step 4: Simplify right side
    9,425.48x = 73,466,730.65
  5. Step 5: Solve for x
    x = 73,466,730.65/9,425.48
  6. Step 6: Final answer
    x = 7,794.49

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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.