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Finding the Fourth Proportional to 9,407.62, 12,981.80 and 5,158

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Solution

The fourth proportional to 9,407.62, 12,981.80 and 5,158 is: 7,117.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.62 : 12,981.80 = 5,158 : x
  2. Step 2: Convert to fraction form
    9,407.62/12,981.80 = 5,158/x
  3. Step 3: Cross multiply
    9,407.62x = 12,981.80 × 5,158
  4. Step 4: Simplify right side
    9,407.62x = 66,960,124.40
  5. Step 5: Solve for x
    x = 66,960,124.40/9,407.62
  6. Step 6: Final answer
    x = 7,117.65

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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.