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Finding the Fourth Proportional to 9,708.84, 13,398.07 and 5,460.60

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Solution

The fourth proportional to 9,708.84, 13,398.07 and 5,460.60 is: 7,535.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.84 : 13,398.07 = 5,460.60 : x
  2. Step 2: Convert to fraction form
    9,708.84/13,398.07 = 5,460.60/x
  3. Step 3: Cross multiply
    9,708.84x = 13,398.07 × 5,460.60
  4. Step 4: Simplify right side
    9,708.84x = 73,161,473.74
  5. Step 5: Solve for x
    x = 73,161,473.74/9,708.84
  6. Step 6: Final answer
    x = 7,535.56

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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.