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Finding the Fourth Proportional to 9,313.97, 13,970.59 and 2,294.01

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Solution

The fourth proportional to 9,313.97, 13,970.59 and 2,294.01 is: 3,440.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.97 : 13,970.59 = 2,294.01 : x
  2. Step 2: Convert to fraction form
    9,313.97/13,970.59 = 2,294.01/x
  3. Step 3: Cross multiply
    9,313.97x = 13,970.59 × 2,294.01
  4. Step 4: Simplify right side
    9,313.97x = 32,048,667.43
  5. Step 5: Solve for x
    x = 32,048,667.43/9,313.97
  6. Step 6: Final answer
    x = 3,440.93

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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.