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Finding the Fourth Proportional to 9,671.32, 14,506.71 and 3,097.90

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Solution

The fourth proportional to 9,671.32, 14,506.71 and 3,097.90 is: 4,646.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.32 : 14,506.71 = 3,097.90 : x
  2. Step 2: Convert to fraction form
    9,671.32/14,506.71 = 3,097.90/x
  3. Step 3: Cross multiply
    9,671.32x = 14,506.71 × 3,097.90
  4. Step 4: Simplify right side
    9,671.32x = 44,940,336.91
  5. Step 5: Solve for x
    x = 44,940,336.91/9,671.32
  6. Step 6: Final answer
    x = 4,646.76

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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.