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Finding the Fourth Proportional to 6,339.86, 9,497.69 and 3,558.10

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Solution

The fourth proportional to 6,339.86, 9,497.69 and 3,558.10 is: 5,330.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.86 : 9,497.69 = 3,558.10 : x
  2. Step 2: Convert to fraction form
    6,339.86/9,497.69 = 3,558.10/x
  3. Step 3: Cross multiply
    6,339.86x = 9,497.69 × 3,558.10
  4. Step 4: Simplify right side
    6,339.86x = 33,793,689.25
  5. Step 5: Solve for x
    x = 33,793,689.25/6,339.86
  6. Step 6: Final answer
    x = 5,330.35

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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.