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Finding the Fourth Proportional to 6,488.58, 9,714.71 and 3,516.35

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Solution

The fourth proportional to 6,488.58, 9,714.71 and 3,516.35 is: 5,264.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488.58 : 9,714.71 = 3,516.35 : x
  2. Step 2: Convert to fraction form
    6,488.58/9,714.71 = 3,516.35/x
  3. Step 3: Cross multiply
    6,488.58x = 9,714.71 × 3,516.35
  4. Step 4: Simplify right side
    6,488.58x = 34,160,353.59
  5. Step 5: Solve for x
    x = 34,160,353.59/6,488.58
  6. Step 6: Final answer
    x = 5,264.69

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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.