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Finding the Fourth Proportional to 9,259.14, 13,887.81 and 5,097.78

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Solution

The fourth proportional to 9,259.14, 13,887.81 and 5,097.78 is: 7,646.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.14 : 13,887.81 = 5,097.78 : x
  2. Step 2: Convert to fraction form
    9,259.14/13,887.81 = 5,097.78/x
  3. Step 3: Cross multiply
    9,259.14x = 13,887.81 × 5,097.78
  4. Step 4: Simplify right side
    9,259.14x = 70,797,000.06
  5. Step 5: Solve for x
    x = 70,797,000.06/9,259.14
  6. Step 6: Final answer
    x = 7,646.17

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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.