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Finding the Fourth Proportional to 9,475.65, 14,216.07 and 2,901.69

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Solution

The fourth proportional to 9,475.65, 14,216.07 and 2,901.69 is: 4,353.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,475.65 : 14,216.07 = 2,901.69 : x
  2. Step 2: Convert to fraction form
    9,475.65/14,216.07 = 2,901.69/x
  3. Step 3: Cross multiply
    9,475.65x = 14,216.07 × 2,901.69
  4. Step 4: Simplify right side
    9,475.65x = 41,250,628.16
  5. Step 5: Solve for x
    x = 41,250,628.16/9,475.65
  6. Step 6: Final answer
    x = 4,353.33

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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.