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Finding the Fourth Proportional to 9,092.44, 12,547.38 and 5,113

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Solution

The fourth proportional to 9,092.44, 12,547.38 and 5,113 is: 7,055.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,092.44 : 12,547.38 = 5,113 : x
  2. Step 2: Convert to fraction form
    9,092.44/12,547.38 = 5,113/x
  3. Step 3: Cross multiply
    9,092.44x = 12,547.38 × 5,113
  4. Step 4: Simplify right side
    9,092.44x = 64,154,753.94
  5. Step 5: Solve for x
    x = 64,154,753.94/9,092.44
  6. Step 6: Final answer
    x = 7,055.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.