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Finding the Fourth Proportional to 6,357.24, 9,473.67 and 6,148.26

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Solution

The fourth proportional to 6,357.24, 9,473.67 and 6,148.26 is: 9,162.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.24 : 9,473.67 = 6,148.26 : x
  2. Step 2: Convert to fraction form
    6,357.24/9,473.67 = 6,148.26/x
  3. Step 3: Cross multiply
    6,357.24x = 9,473.67 × 6,148.26
  4. Step 4: Simplify right side
    6,357.24x = 58,246,586.31
  5. Step 5: Solve for x
    x = 58,246,586.31/6,357.24
  6. Step 6: Final answer
    x = 9,162.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.