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Finding the Fourth Proportional to 6,227.61, 9,341.30 and 1,547.63

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Solution

The fourth proportional to 6,227.61, 9,341.30 and 1,547.63 is: 2,321.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,227.61 : 9,341.30 = 1,547.63 : x
  2. Step 2: Convert to fraction form
    6,227.61/9,341.30 = 1,547.63/x
  3. Step 3: Cross multiply
    6,227.61x = 9,341.30 × 1,547.63
  4. Step 4: Simplify right side
    6,227.61x = 14,456,876.12
  5. Step 5: Solve for x
    x = 14,456,876.12/6,227.61
  6. Step 6: Final answer
    x = 2,321.42

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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.