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Finding the Fourth Proportional to 9,794.46, 14,690.57 and 2,869.66

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Solution

The fourth proportional to 9,794.46, 14,690.57 and 2,869.66 is: 4,304.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.46 : 14,690.57 = 2,869.66 : x
  2. Step 2: Convert to fraction form
    9,794.46/14,690.57 = 2,869.66/x
  3. Step 3: Cross multiply
    9,794.46x = 14,690.57 × 2,869.66
  4. Step 4: Simplify right side
    9,794.46x = 42,156,941.11
  5. Step 5: Solve for x
    x = 42,156,941.11/9,794.46
  6. Step 6: Final answer
    x = 4,304.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.