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Finding the Fourth Proportional to 6,244.34, 9,358.70 and 4,017.24

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Solution

The fourth proportional to 6,244.34, 9,358.70 and 4,017.24 is: 6,020.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,244.34 : 9,358.70 = 4,017.24 : x
  2. Step 2: Convert to fraction form
    6,244.34/9,358.70 = 4,017.24/x
  3. Step 3: Cross multiply
    6,244.34x = 9,358.70 × 4,017.24
  4. Step 4: Simplify right side
    6,244.34x = 37,596,123.90
  5. Step 5: Solve for x
    x = 37,596,123.90/6,244.34
  6. Step 6: Final answer
    x = 6,020.84

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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.