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Finding the Fourth Proportional to 9,399.12, 12,970.64 and 5,150.15

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Solution

The fourth proportional to 9,399.12, 12,970.64 and 5,150.15 is: 7,107.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,399.12 : 12,970.64 = 5,150.15 : x
  2. Step 2: Convert to fraction form
    9,399.12/12,970.64 = 5,150.15/x
  3. Step 3: Cross multiply
    9,399.12x = 12,970.64 × 5,150.15
  4. Step 4: Simplify right side
    9,399.12x = 66,800,741.60
  5. Step 5: Solve for x
    x = 66,800,741.60/9,399.12
  6. Step 6: Final answer
    x = 7,107.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.