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Finding the Fourth Proportional to 9,189.69, 12,681.90 and 6,886.00

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Solution

The fourth proportional to 9,189.69, 12,681.90 and 6,886.00 is: 9,502.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.69 : 12,681.90 = 6,886.00 : x
  2. Step 2: Convert to fraction form
    9,189.69/12,681.90 = 6,886.00/x
  3. Step 3: Cross multiply
    9,189.69x = 12,681.90 × 6,886.00
  4. Step 4: Simplify right side
    9,189.69x = 87,327,553.43
  5. Step 5: Solve for x
    x = 87,327,553.43/9,189.69
  6. Step 6: Final answer
    x = 9,502.77

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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.