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Finding the Fourth Proportional to 9,672.40, 14,508.60 and 4,751.65

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Solution

The fourth proportional to 9,672.40, 14,508.60 and 4,751.65 is: 7,127.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.40 : 14,508.60 = 4,751.65 : x
  2. Step 2: Convert to fraction form
    9,672.40/14,508.60 = 4,751.65/x
  3. Step 3: Cross multiply
    9,672.40x = 14,508.60 × 4,751.65
  4. Step 4: Simplify right side
    9,672.40x = 68,939,789.19
  5. Step 5: Solve for x
    x = 68,939,789.19/9,672.40
  6. Step 6: Final answer
    x = 7,127.48

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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.