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Finding the Fourth Proportional to 9,772.65, 14,658.04 and 2,752.55

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Solution

The fourth proportional to 9,772.65, 14,658.04 and 2,752.55 is: 4,128.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.65 : 14,658.04 = 2,752.55 : x
  2. Step 2: Convert to fraction form
    9,772.65/14,658.04 = 2,752.55/x
  3. Step 3: Cross multiply
    9,772.65x = 14,658.04 × 2,752.55
  4. Step 4: Simplify right side
    9,772.65x = 40,347,040.09
  5. Step 5: Solve for x
    x = 40,347,040.09/9,772.65
  6. Step 6: Final answer
    x = 4,128.57

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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.