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Finding the Fourth Proportional to 9,680.51, 13,358.98 and 5,488.49

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Solution

The fourth proportional to 9,680.51, 13,358.98 and 5,488.49 is: 7,574.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,680.51 : 13,358.98 = 5,488.49 : x
  2. Step 2: Convert to fraction form
    9,680.51/13,358.98 = 5,488.49/x
  3. Step 3: Cross multiply
    9,680.51x = 13,358.98 × 5,488.49
  4. Step 4: Simplify right side
    9,680.51x = 73,320,628.14
  5. Step 5: Solve for x
    x = 73,320,628.14/9,680.51
  6. Step 6: Final answer
    x = 7,574.05

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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.