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Finding the Fourth Proportional to 9,239.16, 13,858.70 and 2,313.64

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Solution

The fourth proportional to 9,239.16, 13,858.70 and 2,313.64 is: 3,470.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,239.16 : 13,858.70 = 2,313.64 : x
  2. Step 2: Convert to fraction form
    9,239.16/13,858.70 = 2,313.64/x
  3. Step 3: Cross multiply
    9,239.16x = 13,858.70 × 2,313.64
  4. Step 4: Simplify right side
    9,239.16x = 32,064,042.67
  5. Step 5: Solve for x
    x = 32,064,042.67/9,239.16
  6. Step 6: Final answer
    x = 3,470.45

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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.