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Finding the Fourth Proportional to 9,392.76, 14,077.08 and 3,542.40

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Solution

The fourth proportional to 9,392.76, 14,077.08 and 3,542.40 is: 5,309.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,392.76 : 14,077.08 = 3,542.40 : x
  2. Step 2: Convert to fraction form
    9,392.76/14,077.08 = 3,542.40/x
  3. Step 3: Cross multiply
    9,392.76x = 14,077.08 × 3,542.40
  4. Step 4: Simplify right side
    9,392.76x = 49,866,648.19
  5. Step 5: Solve for x
    x = 49,866,648.19/9,392.76
  6. Step 6: Final answer
    x = 5,309.05

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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.