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Finding the Fourth Proportional to 9,286.61, 12,806.81 and 7,404.45

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Solution

The fourth proportional to 9,286.61, 12,806.81 and 7,404.45 is: 10,211.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.61 : 12,806.81 = 7,404.45 : x
  2. Step 2: Convert to fraction form
    9,286.61/12,806.81 = 7,404.45/x
  3. Step 3: Cross multiply
    9,286.61x = 12,806.81 × 7,404.45
  4. Step 4: Simplify right side
    9,286.61x = 94,827,384.30
  5. Step 5: Solve for x
    x = 94,827,384.30/9,286.61
  6. Step 6: Final answer
    x = 10,211.19

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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.