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Finding the Fourth Proportional to 6,337.60, 9,506.40 and 4,148.80

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Solution

The fourth proportional to 6,337.60, 9,506.40 and 4,148.80 is: 6,223.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.60 : 9,506.40 = 4,148.80 : x
  2. Step 2: Convert to fraction form
    6,337.60/9,506.40 = 4,148.80/x
  3. Step 3: Cross multiply
    6,337.60x = 9,506.40 × 4,148.80
  4. Step 4: Simplify right side
    6,337.60x = 39,440,152.32
  5. Step 5: Solve for x
    x = 39,440,152.32/6,337.60
  6. Step 6: Final answer
    x = 6,223.20

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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.