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Finding the Fourth Proportional to 9,097.74, 13,646.79 and 3,903.66

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Solution

The fourth proportional to 9,097.74, 13,646.79 and 3,903.66 is: 5,855.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.74 : 13,646.79 = 3,903.66 : x
  2. Step 2: Convert to fraction form
    9,097.74/13,646.79 = 3,903.66/x
  3. Step 3: Cross multiply
    9,097.74x = 13,646.79 × 3,903.66
  4. Step 4: Simplify right side
    9,097.74x = 53,272,428.25
  5. Step 5: Solve for x
    x = 53,272,428.25/9,097.74
  6. Step 6: Final answer
    x = 5,855.57

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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.