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Finding the Fourth Proportional to 9,874.32, 14,811.40 and 2,478.72

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Solution

The fourth proportional to 9,874.32, 14,811.40 and 2,478.72 is: 3,718.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.32 : 14,811.40 = 2,478.72 : x
  2. Step 2: Convert to fraction form
    9,874.32/14,811.40 = 2,478.72/x
  3. Step 3: Cross multiply
    9,874.32x = 14,811.40 × 2,478.72
  4. Step 4: Simplify right side
    9,874.32x = 36,713,313.41
  5. Step 5: Solve for x
    x = 36,713,313.41/9,874.32
  6. Step 6: Final answer
    x = 3,718.06

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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.