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Finding the Fourth Proportional to 9,313.36, 13,970.19 and 2,293.39

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Solution

The fourth proportional to 9,313.36, 13,970.19 and 2,293.39 is: 3,440.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.36 : 13,970.19 = 2,293.39 : x
  2. Step 2: Convert to fraction form
    9,313.36/13,970.19 = 2,293.39/x
  3. Step 3: Cross multiply
    9,313.36x = 13,970.19 × 2,293.39
  4. Step 4: Simplify right side
    9,313.36x = 32,039,094.04
  5. Step 5: Solve for x
    x = 32,039,094.04/9,313.36
  6. Step 6: Final answer
    x = 3,440.12

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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.