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Finding the Fourth Proportional to 6,141.60, 9,223.20 and 4,758.30

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Solution

The fourth proportional to 6,141.60, 9,223.20 and 4,758.30 is: 7,145.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.60 : 9,223.20 = 4,758.30 : x
  2. Step 2: Convert to fraction form
    6,141.60/9,223.20 = 4,758.30/x
  3. Step 3: Cross multiply
    6,141.60x = 9,223.20 × 4,758.30
  4. Step 4: Simplify right side
    6,141.60x = 43,886,752.56
  5. Step 5: Solve for x
    x = 43,886,752.56/6,141.60
  6. Step 6: Final answer
    x = 7,145.82

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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.