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Finding the Fourth Proportional to 6,282.30, 9,425.03 and 4,437.03

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Solution

The fourth proportional to 6,282.30, 9,425.03 and 4,437.03 is: 6,656.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282.30 : 9,425.03 = 4,437.03 : x
  2. Step 2: Convert to fraction form
    6,282.30/9,425.03 = 4,437.03/x
  3. Step 3: Cross multiply
    6,282.30x = 9,425.03 × 4,437.03
  4. Step 4: Simplify right side
    6,282.30x = 41,819,071.55
  5. Step 5: Solve for x
    x = 41,819,071.55/6,282.30
  6. Step 6: Final answer
    x = 6,656.66

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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.