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Finding the Fourth Proportional to 9,866.25, 14,806.67 and 4,672.13

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Solution

The fourth proportional to 9,866.25, 14,806.67 and 4,672.13 is: 7,011.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.25 : 14,806.67 = 4,672.13 : x
  2. Step 2: Convert to fraction form
    9,866.25/14,806.67 = 4,672.13/x
  3. Step 3: Cross multiply
    9,866.25x = 14,806.67 × 4,672.13
  4. Step 4: Simplify right side
    9,866.25x = 69,178,589.71
  5. Step 5: Solve for x
    x = 69,178,589.71/9,866.25
  6. Step 6: Final answer
    x = 7,011.64

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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.