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Finding the Fourth Proportional to 9,608.68, 13,260 and 5,360.14

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Solution

The fourth proportional to 9,608.68, 13,260 and 5,360.14 is: 7,397.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.68 : 13,260 = 5,360.14 : x
  2. Step 2: Convert to fraction form
    9,608.68/13,260 = 5,360.14/x
  3. Step 3: Cross multiply
    9,608.68x = 13,260 × 5,360.14
  4. Step 4: Simplify right side
    9,608.68x = 71,075,456.40
  5. Step 5: Solve for x
    x = 71,075,456.40/9,608.68
  6. Step 6: Final answer
    x = 7,397.01

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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.