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Finding the Fourth Proportional to 6,408.64, 9,555.53 and 6,292

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Solution

The fourth proportional to 6,408.64, 9,555.53 and 6,292 is: 9,381.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.64 : 9,555.53 = 6,292 : x
  2. Step 2: Convert to fraction form
    6,408.64/9,555.53 = 6,292/x
  3. Step 3: Cross multiply
    6,408.64x = 9,555.53 × 6,292
  4. Step 4: Simplify right side
    6,408.64x = 60,123,394.76
  5. Step 5: Solve for x
    x = 60,123,394.76/6,408.64
  6. Step 6: Final answer
    x = 9,381.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.