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Finding the Fourth Proportional to 9,443.81, 14,165.72 and 4,498.46

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Solution

The fourth proportional to 9,443.81, 14,165.72 and 4,498.46 is: 6,747.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,443.81 : 14,165.72 = 4,498.46 : x
  2. Step 2: Convert to fraction form
    9,443.81/14,165.72 = 4,498.46/x
  3. Step 3: Cross multiply
    9,443.81x = 14,165.72 × 4,498.46
  4. Step 4: Simplify right side
    9,443.81x = 63,723,924.79
  5. Step 5: Solve for x
    x = 63,723,924.79/9,443.81
  6. Step 6: Final answer
    x = 6,747.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.