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Finding the Fourth Proportional to 9,356.39, 12,901.33 and 7,649.57

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Solution

The fourth proportional to 9,356.39, 12,901.33 and 7,649.57 is: 10,547.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.39 : 12,901.33 = 7,649.57 : x
  2. Step 2: Convert to fraction form
    9,356.39/12,901.33 = 7,649.57/x
  3. Step 3: Cross multiply
    9,356.39x = 12,901.33 × 7,649.57
  4. Step 4: Simplify right side
    9,356.39x = 98,689,626.93
  5. Step 5: Solve for x
    x = 98,689,626.93/9,356.39
  6. Step 6: Final answer
    x = 10,547.83

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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.