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Finding the Fourth Proportional to 9,301.98, 12,836.07 and 5,267.66

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Solution

The fourth proportional to 9,301.98, 12,836.07 and 5,267.66 is: 7,268.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.98 : 12,836.07 = 5,267.66 : x
  2. Step 2: Convert to fraction form
    9,301.98/12,836.07 = 5,267.66/x
  3. Step 3: Cross multiply
    9,301.98x = 12,836.07 × 5,267.66
  4. Step 4: Simplify right side
    9,301.98x = 67,616,008.07
  5. Step 5: Solve for x
    x = 67,616,008.07/9,301.98
  6. Step 6: Final answer
    x = 7,268.99

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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.