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Finding the Fourth Proportional to 9,375.74, 14,065.66 and 2,802.46

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Solution

The fourth proportional to 9,375.74, 14,065.66 and 2,802.46 is: 4,204.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,375.74 : 14,065.66 = 2,802.46 : x
  2. Step 2: Convert to fraction form
    9,375.74/14,065.66 = 2,802.46/x
  3. Step 3: Cross multiply
    9,375.74x = 14,065.66 × 2,802.46
  4. Step 4: Simplify right side
    9,375.74x = 39,418,449.52
  5. Step 5: Solve for x
    x = 39,418,449.52/9,375.74
  6. Step 6: Final answer
    x = 4,204.30

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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.