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Finding the Fourth Proportional to 6,885.93, 9,505.71 and 5,207.61

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Solution

The fourth proportional to 6,885.93, 9,505.71 and 5,207.61 is: 7,188.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,885.93 : 9,505.71 = 5,207.61 : x
  2. Step 2: Convert to fraction form
    6,885.93/9,505.71 = 5,207.61/x
  3. Step 3: Cross multiply
    6,885.93x = 9,505.71 × 5,207.61
  4. Step 4: Simplify right side
    6,885.93x = 49,502,030.45
  5. Step 5: Solve for x
    x = 49,502,030.45/6,885.93
  6. Step 6: Final answer
    x = 7,188.87

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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.