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Finding the Fourth Proportional to 9,407.07, 12,981.90 and 5,158.52

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Solution

The fourth proportional to 9,407.07, 12,981.90 and 5,158.52 is: 7,118.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.07 : 12,981.90 = 5,158.52 : x
  2. Step 2: Convert to fraction form
    9,407.07/12,981.90 = 5,158.52/x
  3. Step 3: Cross multiply
    9,407.07x = 12,981.90 × 5,158.52
  4. Step 4: Simplify right side
    9,407.07x = 66,967,338.77
  5. Step 5: Solve for x
    x = 66,967,338.77/9,407.07
  6. Step 6: Final answer
    x = 7,118.83

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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.