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Finding the Fourth Proportional to 6,294.22, 9,432.36 and 4,637.74

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Solution

The fourth proportional to 6,294.22, 9,432.36 and 4,637.74 is: 6,950.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.22 : 9,432.36 = 4,637.74 : x
  2. Step 2: Convert to fraction form
    6,294.22/9,432.36 = 4,637.74/x
  3. Step 3: Cross multiply
    6,294.22x = 9,432.36 × 4,637.74
  4. Step 4: Simplify right side
    6,294.22x = 43,744,833.27
  5. Step 5: Solve for x
    x = 43,744,833.27/6,294.22
  6. Step 6: Final answer
    x = 6,950.00

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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.