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Finding the Fourth Proportional to 6,178.52, 9,267.90 and 3,547.64

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Solution

The fourth proportional to 6,178.52, 9,267.90 and 3,547.64 is: 5,321.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.52 : 9,267.90 = 3,547.64 : x
  2. Step 2: Convert to fraction form
    6,178.52/9,267.90 = 3,547.64/x
  3. Step 3: Cross multiply
    6,178.52x = 9,267.90 × 3,547.64
  4. Step 4: Simplify right side
    6,178.52x = 32,879,172.76
  5. Step 5: Solve for x
    x = 32,879,172.76/6,178.52
  6. Step 6: Final answer
    x = 5,321.53

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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.