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Finding the Fourth Proportional to 9,657.42, 13,326.28 and 5,679.51

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Solution

The fourth proportional to 9,657.42, 13,326.28 and 5,679.51 is: 7,837.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.42 : 13,326.28 = 5,679.51 : x
  2. Step 2: Convert to fraction form
    9,657.42/13,326.28 = 5,679.51/x
  3. Step 3: Cross multiply
    9,657.42x = 13,326.28 × 5,679.51
  4. Step 4: Simplify right side
    9,657.42x = 75,686,740.52
  5. Step 5: Solve for x
    x = 75,686,740.52/9,657.42
  6. Step 6: Final answer
    x = 7,837.16

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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.