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Finding the Fourth Proportional to 6,364.08, 9,547.11 and 3,077.42

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Solution

The fourth proportional to 6,364.08, 9,547.11 and 3,077.42 is: 4,616.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.08 : 9,547.11 = 3,077.42 : x
  2. Step 2: Convert to fraction form
    6,364.08/9,547.11 = 3,077.42/x
  3. Step 3: Cross multiply
    6,364.08x = 9,547.11 × 3,077.42
  4. Step 4: Simplify right side
    6,364.08x = 29,380,419.52
  5. Step 5: Solve for x
    x = 29,380,419.52/6,364.08
  6. Step 6: Final answer
    x = 4,616.60

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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.