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Finding the Fourth Proportional to 6,156.69, 9,238.70 and 2,458.36

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Solution

The fourth proportional to 6,156.69, 9,238.70 and 2,458.36 is: 3,689.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156.69 : 9,238.70 = 2,458.36 : x
  2. Step 2: Convert to fraction form
    6,156.69/9,238.70 = 2,458.36/x
  3. Step 3: Cross multiply
    6,156.69x = 9,238.70 × 2,458.36
  4. Step 4: Simplify right side
    6,156.69x = 22,712,050.53
  5. Step 5: Solve for x
    x = 22,712,050.53/6,156.69
  6. Step 6: Final answer
    x = 3,689.00

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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.