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Finding the Fourth Proportional to 9,708.36, 13,397.41 and 5,460.13

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Solution

The fourth proportional to 9,708.36, 13,397.41 and 5,460.13 is: 7,534.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.36 : 13,397.41 = 5,460.13 : x
  2. Step 2: Convert to fraction form
    9,708.36/13,397.41 = 5,460.13/x
  3. Step 3: Cross multiply
    9,708.36x = 13,397.41 × 5,460.13
  4. Step 4: Simplify right side
    9,708.36x = 73,151,600.26
  5. Step 5: Solve for x
    x = 73,151,600.26/9,708.36
  6. Step 6: Final answer
    x = 7,534.91

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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.