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Finding the Fourth Proportional to 9,532.66, 14,298.91 and 2,869.12

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Solution

The fourth proportional to 9,532.66, 14,298.91 and 2,869.12 is: 4,303.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.66 : 14,298.91 = 2,869.12 : x
  2. Step 2: Convert to fraction form
    9,532.66/14,298.91 = 2,869.12/x
  3. Step 3: Cross multiply
    9,532.66x = 14,298.91 × 2,869.12
  4. Step 4: Simplify right side
    9,532.66x = 41,025,347.65
  5. Step 5: Solve for x
    x = 41,025,347.65/9,532.66
  6. Step 6: Final answer
    x = 4,303.66

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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.