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Finding the Fourth Proportional to 9,473.13, 14,189.33 and 7,686.16

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Solution

The fourth proportional to 9,473.13, 14,189.33 and 7,686.16 is: 11,512.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,473.13 : 14,189.33 = 7,686.16 : x
  2. Step 2: Convert to fraction form
    9,473.13/14,189.33 = 7,686.16/x
  3. Step 3: Cross multiply
    9,473.13x = 14,189.33 × 7,686.16
  4. Step 4: Simplify right side
    9,473.13x = 109,061,460.67
  5. Step 5: Solve for x
    x = 109,061,460.67/9,473.13
  6. Step 6: Final answer
    x = 11,512.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.