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Finding the Fourth Proportional to 9,833.88, 14,734.40 and 4,278.90

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Solution

The fourth proportional to 9,833.88, 14,734.40 and 4,278.90 is: 6,411.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.88 : 14,734.40 = 4,278.90 : x
  2. Step 2: Convert to fraction form
    9,833.88/14,734.40 = 4,278.90/x
  3. Step 3: Cross multiply
    9,833.88x = 14,734.40 × 4,278.90
  4. Step 4: Simplify right side
    9,833.88x = 63,047,002.77
  5. Step 5: Solve for x
    x = 63,047,002.77/9,833.88
  6. Step 6: Final answer
    x = 6,411.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.