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Finding the Fourth Proportional to 9,693.06, 14,517.72 and 4,488

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Solution

The fourth proportional to 9,693.06, 14,517.72 and 4,488 is: 6,721.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.06 : 14,517.72 = 4,488 : x
  2. Step 2: Convert to fraction form
    9,693.06/14,517.72 = 4,488/x
  3. Step 3: Cross multiply
    9,693.06x = 14,517.72 × 4,488
  4. Step 4: Simplify right side
    9,693.06x = 65,155,527.36
  5. Step 5: Solve for x
    x = 65,155,527.36/9,693.06
  6. Step 6: Final answer
    x = 6,721.87

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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.