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Finding the Fourth Proportional to 9,397.53, 14,101.84 and 3,478.57

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Solution

The fourth proportional to 9,397.53, 14,101.84 and 3,478.57 is: 5,219.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,397.53 : 14,101.84 = 3,478.57 : x
  2. Step 2: Convert to fraction form
    9,397.53/14,101.84 = 3,478.57/x
  3. Step 3: Cross multiply
    9,397.53x = 14,101.84 × 3,478.57
  4. Step 4: Simplify right side
    9,397.53x = 49,054,259.54
  5. Step 5: Solve for x
    x = 49,054,259.54/9,397.53
  6. Step 6: Final answer
    x = 5,219.91

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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.