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Finding the Fourth Proportional to 9,240.64, 12,751.86 and 5,048.80

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Solution

The fourth proportional to 9,240.64, 12,751.86 and 5,048.80 is: 6,967.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,240.64 : 12,751.86 = 5,048.80 : x
  2. Step 2: Convert to fraction form
    9,240.64/12,751.86 = 5,048.80/x
  3. Step 3: Cross multiply
    9,240.64x = 12,751.86 × 5,048.80
  4. Step 4: Simplify right side
    9,240.64x = 64,381,590.77
  5. Step 5: Solve for x
    x = 64,381,590.77/9,240.64
  6. Step 6: Final answer
    x = 6,967.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.