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Finding the Fourth Proportional to 9,301.50, 12,820.77 and 6,472.98

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Solution

The fourth proportional to 9,301.50, 12,820.77 and 6,472.98 is: 8,922.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.50 : 12,820.77 = 6,472.98 : x
  2. Step 2: Convert to fraction form
    9,301.50/12,820.77 = 6,472.98/x
  3. Step 3: Cross multiply
    9,301.50x = 12,820.77 × 6,472.98
  4. Step 4: Simplify right side
    9,301.50x = 82,988,587.79
  5. Step 5: Solve for x
    x = 82,988,587.79/9,301.50
  6. Step 6: Final answer
    x = 8,922.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.