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Finding the Fourth Proportional to 9,313.64, 13,970.04 and 2,650.16

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Solution

The fourth proportional to 9,313.64, 13,970.04 and 2,650.16 is: 3,975.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.64 : 13,970.04 = 2,650.16 : x
  2. Step 2: Convert to fraction form
    9,313.64/13,970.04 = 2,650.16/x
  3. Step 3: Cross multiply
    9,313.64x = 13,970.04 × 2,650.16
  4. Step 4: Simplify right side
    9,313.64x = 37,022,841.21
  5. Step 5: Solve for x
    x = 37,022,841.21/9,313.64
  6. Step 6: Final answer
    x = 3,975.12

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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.