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Finding the Fourth Proportional to 6,465.39, 9,693.15 and 2,952.96

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Solution

The fourth proportional to 6,465.39, 9,693.15 and 2,952.96 is: 4,427.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.39 : 9,693.15 = 2,952.96 : x
  2. Step 2: Convert to fraction form
    6,465.39/9,693.15 = 2,952.96/x
  3. Step 3: Cross multiply
    6,465.39x = 9,693.15 × 2,952.96
  4. Step 4: Simplify right side
    6,465.39x = 28,623,420.99
  5. Step 5: Solve for x
    x = 28,623,420.99/6,465.39
  6. Step 6: Final answer
    x = 4,427.18

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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.