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Finding the Fourth Proportional to 9,052.14, 13,578.10 and 2,478.32

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Solution

The fourth proportional to 9,052.14, 13,578.10 and 2,478.32 is: 3,717.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,052.14 : 13,578.10 = 2,478.32 : x
  2. Step 2: Convert to fraction form
    9,052.14/13,578.10 = 2,478.32/x
  3. Step 3: Cross multiply
    9,052.14x = 13,578.10 × 2,478.32
  4. Step 4: Simplify right side
    9,052.14x = 33,650,876.79
  5. Step 5: Solve for x
    x = 33,650,876.79/9,052.14
  6. Step 6: Final answer
    x = 3,717.45

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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.