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Finding the Fourth Proportional to 9,189.16, 12,678.18 and 5,209.96

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Solution

The fourth proportional to 9,189.16, 12,678.18 and 5,209.96 is: 7,188.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.16 : 12,678.18 = 5,209.96 : x
  2. Step 2: Convert to fraction form
    9,189.16/12,678.18 = 5,209.96/x
  3. Step 3: Cross multiply
    9,189.16x = 12,678.18 × 5,209.96
  4. Step 4: Simplify right side
    9,189.16x = 66,052,810.67
  5. Step 5: Solve for x
    x = 66,052,810.67/9,189.16
  6. Step 6: Final answer
    x = 7,188.12

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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.