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Finding the Fourth Proportional to 6,156.47, 9,234.75 and 1,539.47

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Solution

The fourth proportional to 6,156.47, 9,234.75 and 1,539.47 is: 2,309.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156.47 : 9,234.75 = 1,539.47 : x
  2. Step 2: Convert to fraction form
    6,156.47/9,234.75 = 1,539.47/x
  3. Step 3: Cross multiply
    6,156.47x = 9,234.75 × 1,539.47
  4. Step 4: Simplify right side
    6,156.47x = 14,216,574.41
  5. Step 5: Solve for x
    x = 14,216,574.41/6,156.47
  6. Step 6: Final answer
    x = 2,309.21

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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.