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Finding the Fourth Proportional to 9,920.16, 14,875.92 and 3,344.58

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Solution

The fourth proportional to 9,920.16, 14,875.92 and 3,344.58 is: 5,015.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.16 : 14,875.92 = 3,344.58 : x
  2. Step 2: Convert to fraction form
    9,920.16/14,875.92 = 3,344.58/x
  3. Step 3: Cross multiply
    9,920.16x = 14,875.92 × 3,344.58
  4. Step 4: Simplify right side
    9,920.16x = 49,753,704.51
  5. Step 5: Solve for x
    x = 49,753,704.51/9,920.16
  6. Step 6: Final answer
    x = 5,015.41

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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.