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Finding the Fourth Proportional to 9,306.84, 12,830.22 and 7,401.72

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Solution

The fourth proportional to 9,306.84, 12,830.22 and 7,401.72 is: 10,203.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.84 : 12,830.22 = 7,401.72 : x
  2. Step 2: Convert to fraction form
    9,306.84/12,830.22 = 7,401.72/x
  3. Step 3: Cross multiply
    9,306.84x = 12,830.22 × 7,401.72
  4. Step 4: Simplify right side
    9,306.84x = 94,965,695.98
  5. Step 5: Solve for x
    x = 94,965,695.98/9,306.84
  6. Step 6: Final answer
    x = 10,203.86

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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.