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Finding the Fourth Proportional to 9,302.56, 13,954.56 and 2,377

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Solution

The fourth proportional to 9,302.56, 13,954.56 and 2,377 is: 3,565.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.56 : 13,954.56 = 2,377 : x
  2. Step 2: Convert to fraction form
    9,302.56/13,954.56 = 2,377/x
  3. Step 3: Cross multiply
    9,302.56x = 13,954.56 × 2,377
  4. Step 4: Simplify right side
    9,302.56x = 33,169,989.12
  5. Step 5: Solve for x
    x = 33,169,989.12/9,302.56
  6. Step 6: Final answer
    x = 3,565.68

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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.