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Finding the Fourth Proportional to 9,688.96, 13,290.56 and 9,605.92

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Solution

The fourth proportional to 9,688.96, 13,290.56 and 9,605.92 is: 13,176.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,688.96 : 13,290.56 = 9,605.92 : x
  2. Step 2: Convert to fraction form
    9,688.96/13,290.56 = 9,605.92/x
  3. Step 3: Cross multiply
    9,688.96x = 13,290.56 × 9,605.92
  4. Step 4: Simplify right side
    9,688.96x = 127,668,056.12
  5. Step 5: Solve for x
    x = 127,668,056.12/9,688.96
  6. Step 6: Final answer
    x = 13,176.65

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.