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Finding the Fourth Proportional to 6,234.68, 9,351.75 and 1,554.71

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Solution

The fourth proportional to 6,234.68, 9,351.75 and 1,554.71 is: 2,332.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.68 : 9,351.75 = 1,554.71 : x
  2. Step 2: Convert to fraction form
    6,234.68/9,351.75 = 1,554.71/x
  3. Step 3: Cross multiply
    6,234.68x = 9,351.75 × 1,554.71
  4. Step 4: Simplify right side
    6,234.68x = 14,539,259.24
  5. Step 5: Solve for x
    x = 14,539,259.24/6,234.68
  6. Step 6: Final answer
    x = 2,332.00

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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.