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Finding the Fourth Proportional to 9,313.98, 12,853.23 and 5,065.02

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Solution

The fourth proportional to 9,313.98, 12,853.23 and 5,065.02 is: 6,989.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.98 : 12,853.23 = 5,065.02 : x
  2. Step 2: Convert to fraction form
    9,313.98/12,853.23 = 5,065.02/x
  3. Step 3: Cross multiply
    9,313.98x = 12,853.23 × 5,065.02
  4. Step 4: Simplify right side
    9,313.98x = 65,101,867.01
  5. Step 5: Solve for x
    x = 65,101,867.01/9,313.98
  6. Step 6: Final answer
    x = 6,989.69

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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.