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Finding the Fourth Proportional to 6,807.72, 9,404.10 and 5,255.40

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Solution

The fourth proportional to 6,807.72, 9,404.10 and 5,255.40 is: 7,259.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.72 : 9,404.10 = 5,255.40 : x
  2. Step 2: Convert to fraction form
    6,807.72/9,404.10 = 5,255.40/x
  3. Step 3: Cross multiply
    6,807.72x = 9,404.10 × 5,255.40
  4. Step 4: Simplify right side
    6,807.72x = 49,422,307.14
  5. Step 5: Solve for x
    x = 49,422,307.14/6,807.72
  6. Step 6: Final answer
    x = 7,259.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.