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Finding the Fourth Proportional to 9,095.64, 12,546.12 and 5,951.76

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Solution

The fourth proportional to 9,095.64, 12,546.12 and 5,951.76 is: 8,209.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,095.64 : 12,546.12 = 5,951.76 : x
  2. Step 2: Convert to fraction form
    9,095.64/12,546.12 = 5,951.76/x
  3. Step 3: Cross multiply
    9,095.64x = 12,546.12 × 5,951.76
  4. Step 4: Simplify right side
    9,095.64x = 74,671,495.17
  5. Step 5: Solve for x
    x = 74,671,495.17/9,095.64
  6. Step 6: Final answer
    x = 8,209.59

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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.