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Finding the Fourth Proportional to 9,397.15, 14,101.28 and 3,478.20

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Solution

The fourth proportional to 9,397.15, 14,101.28 and 3,478.20 is: 5,219.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,397.15 : 14,101.28 = 3,478.20 : x
  2. Step 2: Convert to fraction form
    9,397.15/14,101.28 = 3,478.20/x
  3. Step 3: Cross multiply
    9,397.15x = 14,101.28 × 3,478.20
  4. Step 4: Simplify right side
    9,397.15x = 49,047,014.87
  5. Step 5: Solve for x
    x = 49,047,014.87/9,397.15
  6. Step 6: Final answer
    x = 5,219.35

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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.