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Finding the Fourth Proportional to 9,313.94, 13,970.63 and 2,740.25

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Solution

The fourth proportional to 9,313.94, 13,970.63 and 2,740.25 is: 4,110.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.94 : 13,970.63 = 2,740.25 : x
  2. Step 2: Convert to fraction form
    9,313.94/13,970.63 = 2,740.25/x
  3. Step 3: Cross multiply
    9,313.94x = 13,970.63 × 2,740.25
  4. Step 4: Simplify right side
    9,313.94x = 38,283,018.86
  5. Step 5: Solve for x
    x = 38,283,018.86/9,313.94
  6. Step 6: Final answer
    x = 4,110.29

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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.