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Finding the Fourth Proportional to 6,357.31, 9,538.04 and 3,070.78

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Solution

The fourth proportional to 6,357.31, 9,538.04 and 3,070.78 is: 4,607.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.31 : 9,538.04 = 3,070.78 : x
  2. Step 2: Convert to fraction form
    6,357.31/9,538.04 = 3,070.78/x
  3. Step 3: Cross multiply
    6,357.31x = 9,538.04 × 3,070.78
  4. Step 4: Simplify right side
    6,357.31x = 29,289,222.47
  5. Step 5: Solve for x
    x = 29,289,222.47/6,357.31
  6. Step 6: Final answer
    x = 4,607.17

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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.