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Finding the Fourth Proportional to 9,491.11, 14,236.64 and 2,565.61

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Solution

The fourth proportional to 9,491.11, 14,236.64 and 2,565.61 is: 3,848.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.11 : 14,236.64 = 2,565.61 : x
  2. Step 2: Convert to fraction form
    9,491.11/14,236.64 = 2,565.61/x
  3. Step 3: Cross multiply
    9,491.11x = 14,236.64 × 2,565.61
  4. Step 4: Simplify right side
    9,491.11x = 36,525,581.94
  5. Step 5: Solve for x
    x = 36,525,581.94/9,491.11
  6. Step 6: Final answer
    x = 3,848.40

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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.