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Finding the Fourth Proportional to 9,546.65, 14,320.85 and 4,001.67

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Solution

The fourth proportional to 9,546.65, 14,320.85 and 4,001.67 is: 6,002.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,546.65 : 14,320.85 = 4,001.67 : x
  2. Step 2: Convert to fraction form
    9,546.65/14,320.85 = 4,001.67/x
  3. Step 3: Cross multiply
    9,546.65x = 14,320.85 × 4,001.67
  4. Step 4: Simplify right side
    9,546.65x = 57,307,295.81
  5. Step 5: Solve for x
    x = 57,307,295.81/9,546.65
  6. Step 6: Final answer
    x = 6,002.87

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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.