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Finding the Fourth Proportional to 9,045.47, 12,480.24 and 5,506.16

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Solution

The fourth proportional to 9,045.47, 12,480.24 and 5,506.16 is: 7,596.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,045.47 : 12,480.24 = 5,506.16 : x
  2. Step 2: Convert to fraction form
    9,045.47/12,480.24 = 5,506.16/x
  3. Step 3: Cross multiply
    9,045.47x = 12,480.24 × 5,506.16
  4. Step 4: Simplify right side
    9,045.47x = 68,718,198.28
  5. Step 5: Solve for x
    x = 68,718,198.28/9,045.47
  6. Step 6: Final answer
    x = 7,596.97

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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.