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Finding the Fourth Proportional to 9,302.68, 12,837.90 and 5,111.20

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Solution

The fourth proportional to 9,302.68, 12,837.90 and 5,111.20 is: 7,053.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.68 : 12,837.90 = 5,111.20 : x
  2. Step 2: Convert to fraction form
    9,302.68/12,837.90 = 5,111.20/x
  3. Step 3: Cross multiply
    9,302.68x = 12,837.90 × 5,111.20
  4. Step 4: Simplify right side
    9,302.68x = 65,617,074.48
  5. Step 5: Solve for x
    x = 65,617,074.48/9,302.68
  6. Step 6: Final answer
    x = 7,053.57

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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.