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Finding the Fourth Proportional to 9,314.18, 13,970.91 and 3,158.18

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Solution

The fourth proportional to 9,314.18, 13,970.91 and 3,158.18 is: 4,737.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.18 : 13,970.91 = 3,158.18 : x
  2. Step 2: Convert to fraction form
    9,314.18/13,970.91 = 3,158.18/x
  3. Step 3: Cross multiply
    9,314.18x = 13,970.91 × 3,158.18
  4. Step 4: Simplify right side
    9,314.18x = 44,122,648.54
  5. Step 5: Solve for x
    x = 44,122,648.54/9,314.18
  6. Step 6: Final answer
    x = 4,737.15

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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.