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Finding the Fourth Proportional to 9,854.06, 14,777.90 and 3,278.48

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Solution

The fourth proportional to 9,854.06, 14,777.90 and 3,278.48 is: 4,916.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.06 : 14,777.90 = 3,278.48 : x
  2. Step 2: Convert to fraction form
    9,854.06/14,777.90 = 3,278.48/x
  3. Step 3: Cross multiply
    9,854.06x = 14,777.90 × 3,278.48
  4. Step 4: Simplify right side
    9,854.06x = 48,448,959.31
  5. Step 5: Solve for x
    x = 48,448,959.31/9,854.06
  6. Step 6: Final answer
    x = 4,916.65

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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.