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Finding the Fourth Proportional to 6,985, 9,633.54 and 4,188.52

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Solution

The fourth proportional to 6,985, 9,633.54 and 4,188.52 is: 5,776.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,985 : 9,633.54 = 4,188.52 : x
  2. Step 2: Convert to fraction form
    6,985/9,633.54 = 4,188.52/x
  3. Step 3: Cross multiply
    6,985x = 9,633.54 × 4,188.52
  4. Step 4: Simplify right side
    6,985x = 40,350,274.96
  5. Step 5: Solve for x
    x = 40,350,274.96/6,985
  6. Step 6: Final answer
    x = 5,776.70

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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.