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Finding the Fourth Proportional to 9,086.50, 12,539.64 and 5,360.50

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Solution

The fourth proportional to 9,086.50, 12,539.64 and 5,360.50 is: 7,397.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,086.50 : 12,539.64 = 5,360.50 : x
  2. Step 2: Convert to fraction form
    9,086.50/12,539.64 = 5,360.50/x
  3. Step 3: Cross multiply
    9,086.50x = 12,539.64 × 5,360.50
  4. Step 4: Simplify right side
    9,086.50x = 67,218,740.22
  5. Step 5: Solve for x
    x = 67,218,740.22/9,086.50
  6. Step 6: Final answer
    x = 7,397.65

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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.