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Finding the Fourth Proportional to 9,494.61, 14,243.81 and 2,920.55

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Solution

The fourth proportional to 9,494.61, 14,243.81 and 2,920.55 is: 4,381.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.61 : 14,243.81 = 2,920.55 : x
  2. Step 2: Convert to fraction form
    9,494.61/14,243.81 = 2,920.55/x
  3. Step 3: Cross multiply
    9,494.61x = 14,243.81 × 2,920.55
  4. Step 4: Simplify right side
    9,494.61x = 41,599,695.38
  5. Step 5: Solve for x
    x = 41,599,695.38/9,494.61
  6. Step 6: Final answer
    x = 4,381.40

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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.