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Finding the Fourth Proportional to 9,097.44, 12,552.38 and 5,117.10

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Solution

The fourth proportional to 9,097.44, 12,552.38 and 5,117.10 is: 7,060.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.44 : 12,552.38 = 5,117.10 : x
  2. Step 2: Convert to fraction form
    9,097.44/12,552.38 = 5,117.10/x
  3. Step 3: Cross multiply
    9,097.44x = 12,552.38 × 5,117.10
  4. Step 4: Simplify right side
    9,097.44x = 64,231,730.23
  5. Step 5: Solve for x
    x = 64,231,730.23/9,097.44
  6. Step 6: Final answer
    x = 7,060.42

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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.