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Finding the Fourth Proportional to 8,927.16, 13,390.68 and 6,981

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Solution

The fourth proportional to 8,927.16, 13,390.68 and 6,981 is: 10,471.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,927.16 : 13,390.68 = 6,981 : x
  2. Step 2: Convert to fraction form
    8,927.16/13,390.68 = 6,981/x
  3. Step 3: Cross multiply
    8,927.16x = 13,390.68 × 6,981
  4. Step 4: Simplify right side
    8,927.16x = 93,480,337.08
  5. Step 5: Solve for x
    x = 93,480,337.08/8,927.16
  6. Step 6: Final answer
    x = 10,471.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.