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Finding the Fourth Proportional to 9,246.52, 13,870.49 and 2,672.77

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Solution

The fourth proportional to 9,246.52, 13,870.49 and 2,672.77 is: 4,009.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246.52 : 13,870.49 = 2,672.77 : x
  2. Step 2: Convert to fraction form
    9,246.52/13,870.49 = 2,672.77/x
  3. Step 3: Cross multiply
    9,246.52x = 13,870.49 × 2,672.77
  4. Step 4: Simplify right side
    9,246.52x = 37,072,560.20
  5. Step 5: Solve for x
    x = 37,072,560.20/9,246.52
  6. Step 6: Final answer
    x = 4,009.35

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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.