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Finding the Fourth Proportional to 9,384.26, 12,948.36 and 5,404.32

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Solution

The fourth proportional to 9,384.26, 12,948.36 and 5,404.32 is: 7,456.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.26 : 12,948.36 = 5,404.32 : x
  2. Step 2: Convert to fraction form
    9,384.26/12,948.36 = 5,404.32/x
  3. Step 3: Cross multiply
    9,384.26x = 12,948.36 × 5,404.32
  4. Step 4: Simplify right side
    9,384.26x = 69,977,060.65
  5. Step 5: Solve for x
    x = 69,977,060.65/9,384.26
  6. Step 6: Final answer
    x = 7,456.86

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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.