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Finding the Fourth Proportional to 9,188.56, 12,669.04 and 7,769.68

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Solution

The fourth proportional to 9,188.56, 12,669.04 and 7,769.68 is: 10,712.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.56 : 12,669.04 = 7,769.68 : x
  2. Step 2: Convert to fraction form
    9,188.56/12,669.04 = 7,769.68/x
  3. Step 3: Cross multiply
    9,188.56x = 12,669.04 × 7,769.68
  4. Step 4: Simplify right side
    9,188.56x = 98,434,386.71
  5. Step 5: Solve for x
    x = 98,434,386.71/9,188.56
  6. Step 6: Final answer
    x = 10,712.71

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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.