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Finding the Fourth Proportional to 9,679.62, 13,364.26 and 7,437.40

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Solution

The fourth proportional to 9,679.62, 13,364.26 and 7,437.40 is: 10,268.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679.62 : 13,364.26 = 7,437.40 : x
  2. Step 2: Convert to fraction form
    9,679.62/13,364.26 = 7,437.40/x
  3. Step 3: Cross multiply
    9,679.62x = 13,364.26 × 7,437.40
  4. Step 4: Simplify right side
    9,679.62x = 99,395,347.32
  5. Step 5: Solve for x
    x = 99,395,347.32/9,679.62
  6. Step 6: Final answer
    x = 10,268.52

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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.