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Finding the Fourth Proportional to 9,443.67, 14,165.50 and 4,498.32

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Solution

The fourth proportional to 9,443.67, 14,165.50 and 4,498.32 is: 6,747.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,443.67 : 14,165.50 = 4,498.32 : x
  2. Step 2: Convert to fraction form
    9,443.67/14,165.50 = 4,498.32/x
  3. Step 3: Cross multiply
    9,443.67x = 14,165.50 × 4,498.32
  4. Step 4: Simplify right side
    9,443.67x = 63,720,881.13
  5. Step 5: Solve for x
    x = 63,720,881.13/9,443.67
  6. Step 6: Final answer
    x = 6,747.47

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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.