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Finding the Fourth Proportional to 6,223.20, 9,334.80 and 6,158.40

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Solution

The fourth proportional to 6,223.20, 9,334.80 and 6,158.40 is: 9,237.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,223.20 : 9,334.80 = 6,158.40 : x
  2. Step 2: Convert to fraction form
    6,223.20/9,334.80 = 6,158.40/x
  3. Step 3: Cross multiply
    6,223.20x = 9,334.80 × 6,158.40
  4. Step 4: Simplify right side
    6,223.20x = 57,487,432.32
  5. Step 5: Solve for x
    x = 57,487,432.32/6,223.20
  6. Step 6: Final answer
    x = 9,237.60

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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.