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Finding the Fourth Proportional to 9,925.66, 14,866.62 and 5,532.22

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Solution

The fourth proportional to 9,925.66, 14,866.62 and 5,532.22 is: 8,286.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,925.66 : 14,866.62 = 5,532.22 : x
  2. Step 2: Convert to fraction form
    9,925.66/14,866.62 = 5,532.22/x
  3. Step 3: Cross multiply
    9,925.66x = 14,866.62 × 5,532.22
  4. Step 4: Simplify right side
    9,925.66x = 82,245,412.50
  5. Step 5: Solve for x
    x = 82,245,412.50/9,925.66
  6. Step 6: Final answer
    x = 8,286.14

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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.