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Finding the Fourth Proportional to 6,357.48, 9,538.65 and 3,070.31

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Solution

The fourth proportional to 6,357.48, 9,538.65 and 3,070.31 is: 4,606.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.48 : 9,538.65 = 3,070.31 : x
  2. Step 2: Convert to fraction form
    6,357.48/9,538.65 = 3,070.31/x
  3. Step 3: Cross multiply
    6,357.48x = 9,538.65 × 3,070.31
  4. Step 4: Simplify right side
    6,357.48x = 29,286,564.79
  5. Step 5: Solve for x
    x = 29,286,564.79/6,357.48
  6. Step 6: Final answer
    x = 4,606.63

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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.