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Finding the Fourth Proportional to 9,769.65, 13,488.81 and 6,237.64

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Solution

The fourth proportional to 9,769.65, 13,488.81 and 6,237.64 is: 8,612.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.65 : 13,488.81 = 6,237.64 : x
  2. Step 2: Convert to fraction form
    9,769.65/13,488.81 = 6,237.64/x
  3. Step 3: Cross multiply
    9,769.65x = 13,488.81 × 6,237.64
  4. Step 4: Simplify right side
    9,769.65x = 84,138,340.81
  5. Step 5: Solve for x
    x = 84,138,340.81/9,769.65
  6. Step 6: Final answer
    x = 8,612.22

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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.