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Finding the Fourth Proportional to 9,538.50, 14,291.07 and 6,618.66

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Solution

The fourth proportional to 9,538.50, 14,291.07 and 6,618.66 is: 9,916.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.50 : 14,291.07 = 6,618.66 : x
  2. Step 2: Convert to fraction form
    9,538.50/14,291.07 = 6,618.66/x
  3. Step 3: Cross multiply
    9,538.50x = 14,291.07 × 6,618.66
  4. Step 4: Simplify right side
    9,538.50x = 94,587,733.37
  5. Step 5: Solve for x
    x = 94,587,733.37/9,538.50
  6. Step 6: Final answer
    x = 9,916.42

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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.