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Finding the Fourth Proportional to 6,853.47, 9,455.24 and 5,065.26

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Solution

The fourth proportional to 6,853.47, 9,455.24 and 5,065.26 is: 6,988.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.47 : 9,455.24 = 5,065.26 : x
  2. Step 2: Convert to fraction form
    6,853.47/9,455.24 = 5,065.26/x
  3. Step 3: Cross multiply
    6,853.47x = 9,455.24 × 5,065.26
  4. Step 4: Simplify right side
    6,853.47x = 47,893,248.96
  5. Step 5: Solve for x
    x = 47,893,248.96/6,853.47
  6. Step 6: Final answer
    x = 6,988.18

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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.