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Finding the Fourth Proportional to 13,097.95, 18,091.41 and 9,507.18

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Solution

The fourth proportional to 13,097.95, 18,091.41 and 9,507.18 is: 13,131.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.95 : 18,091.41 = 9,507.18 : x
  2. Step 2: Convert to fraction form
    13,097.95/18,091.41 = 9,507.18/x
  3. Step 3: Cross multiply
    13,097.95x = 18,091.41 × 9,507.18
  4. Step 4: Simplify right side
    13,097.95x = 171,998,291.32
  5. Step 5: Solve for x
    x = 171,998,291.32/13,097.95
  6. Step 6: Final answer
    x = 13,131.70

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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.