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Finding the Fourth Proportional to 9,130.68, 13,696.02 and 2,205.18

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Solution

The fourth proportional to 9,130.68, 13,696.02 and 2,205.18 is: 3,307.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.68 : 13,696.02 = 2,205.18 : x
  2. Step 2: Convert to fraction form
    9,130.68/13,696.02 = 2,205.18/x
  3. Step 3: Cross multiply
    9,130.68x = 13,696.02 × 2,205.18
  4. Step 4: Simplify right side
    9,130.68x = 30,202,189.38
  5. Step 5: Solve for x
    x = 30,202,189.38/9,130.68
  6. Step 6: Final answer
    x = 3,307.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.