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Finding the Fourth Proportional to 6,962.16, 9,595.22 and 5,070.75

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Solution

The fourth proportional to 6,962.16, 9,595.22 and 5,070.75 is: 6,988.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,962.16 : 9,595.22 = 5,070.75 : x
  2. Step 2: Convert to fraction form
    6,962.16/9,595.22 = 5,070.75/x
  3. Step 3: Cross multiply
    6,962.16x = 9,595.22 × 5,070.75
  4. Step 4: Simplify right side
    6,962.16x = 48,654,961.82
  5. Step 5: Solve for x
    x = 48,654,961.82/6,962.16
  6. Step 6: Final answer
    x = 6,988.49

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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.