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Finding the Fourth Proportional to 9,981.16, 14,972 and 2,585.56

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Solution

The fourth proportional to 9,981.16, 14,972 and 2,585.56 is: 3,878.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981.16 : 14,972 = 2,585.56 : x
  2. Step 2: Convert to fraction form
    9,981.16/14,972 = 2,585.56/x
  3. Step 3: Cross multiply
    9,981.16x = 14,972 × 2,585.56
  4. Step 4: Simplify right side
    9,981.16x = 38,711,004.32
  5. Step 5: Solve for x
    x = 38,711,004.32/9,981.16
  6. Step 6: Final answer
    x = 3,878.41

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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.