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Finding the Fourth Proportional to 9,671.60, 14,497.68 and 5,279.96

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Solution

The fourth proportional to 9,671.60, 14,497.68 and 5,279.96 is: 7,914.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.60 : 14,497.68 = 5,279.96 : x
  2. Step 2: Convert to fraction form
    9,671.60/14,497.68 = 5,279.96/x
  3. Step 3: Cross multiply
    9,671.60x = 14,497.68 × 5,279.96
  4. Step 4: Simplify right side
    9,671.60x = 76,547,170.49
  5. Step 5: Solve for x
    x = 76,547,170.49/9,671.60
  6. Step 6: Final answer
    x = 7,914.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.