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Finding the Fourth Proportional to 9,302.11, 12,837.02 and 5,322.98

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Solution

The fourth proportional to 9,302.11, 12,837.02 and 5,322.98 is: 7,345.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.11 : 12,837.02 = 5,322.98 : x
  2. Step 2: Convert to fraction form
    9,302.11/12,837.02 = 5,322.98/x
  3. Step 3: Cross multiply
    9,302.11x = 12,837.02 × 5,322.98
  4. Step 4: Simplify right side
    9,302.11x = 68,331,206.20
  5. Step 5: Solve for x
    x = 68,331,206.20/9,302.11
  6. Step 6: Final answer
    x = 7,345.78

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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.