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Finding the Fourth Proportional to 9,506.78, 14,239.37 and 4,818.74

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Solution

The fourth proportional to 9,506.78, 14,239.37 and 4,818.74 is: 7,217.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.78 : 14,239.37 = 4,818.74 : x
  2. Step 2: Convert to fraction form
    9,506.78/14,239.37 = 4,818.74/x
  3. Step 3: Cross multiply
    9,506.78x = 14,239.37 × 4,818.74
  4. Step 4: Simplify right side
    9,506.78x = 68,615,726.50
  5. Step 5: Solve for x
    x = 68,615,726.50/9,506.78
  6. Step 6: Final answer
    x = 7,217.56

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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.