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Finding the Fourth Proportional to 9,853.84, 14,777.52 and 3,278.26

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Solution

The fourth proportional to 9,853.84, 14,777.52 and 3,278.26 is: 4,916.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.84 : 14,777.52 = 3,278.26 : x
  2. Step 2: Convert to fraction form
    9,853.84/14,777.52 = 3,278.26/x
  3. Step 3: Cross multiply
    9,853.84x = 14,777.52 × 3,278.26
  4. Step 4: Simplify right side
    9,853.84x = 48,444,552.72
  5. Step 5: Solve for x
    x = 48,444,552.72/9,853.84
  6. Step 6: Final answer
    x = 4,916.31

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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.