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Finding the Fourth Proportional to 9,491.04, 14,236.02 and 2,565

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Solution

The fourth proportional to 9,491.04, 14,236.02 and 2,565 is: 3,847.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.04 : 14,236.02 = 2,565 : x
  2. Step 2: Convert to fraction form
    9,491.04/14,236.02 = 2,565/x
  3. Step 3: Cross multiply
    9,491.04x = 14,236.02 × 2,565
  4. Step 4: Simplify right side
    9,491.04x = 36,515,391.30
  5. Step 5: Solve for x
    x = 36,515,391.30/9,491.04
  6. Step 6: Final answer
    x = 3,847.35

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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.