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Finding the Fourth Proportional to 11,434.77, 15,765.84 and 9,196.74

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Solution

The fourth proportional to 11,434.77, 15,765.84 and 9,196.74 is: 12,680.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,434.77 : 15,765.84 = 9,196.74 : x
  2. Step 2: Convert to fraction form
    11,434.77/15,765.84 = 9,196.74/x
  3. Step 3: Cross multiply
    11,434.77x = 15,765.84 × 9,196.74
  4. Step 4: Simplify right side
    11,434.77x = 144,994,331.36
  5. Step 5: Solve for x
    x = 144,994,331.36/11,434.77
  6. Step 6: Final answer
    x = 12,680.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.