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Finding the Fourth Proportional to 9,259.38, 13,889.37 and 4,065.12

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Solution

The fourth proportional to 9,259.38, 13,889.37 and 4,065.12 is: 6,097.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.38 : 13,889.37 = 4,065.12 : x
  2. Step 2: Convert to fraction form
    9,259.38/13,889.37 = 4,065.12/x
  3. Step 3: Cross multiply
    9,259.38x = 13,889.37 × 4,065.12
  4. Step 4: Simplify right side
    9,259.38x = 56,461,955.77
  5. Step 5: Solve for x
    x = 56,461,955.77/9,259.38
  6. Step 6: Final answer
    x = 6,097.81

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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.