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Finding the Fourth Proportional to 9,314.09, 12,853.59 and 5,065.23

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Solution

The fourth proportional to 9,314.09, 12,853.59 and 5,065.23 is: 6,990.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.09 : 12,853.59 = 5,065.23 : x
  2. Step 2: Convert to fraction form
    9,314.09/12,853.59 = 5,065.23/x
  3. Step 3: Cross multiply
    9,314.09x = 12,853.59 × 5,065.23
  4. Step 4: Simplify right side
    9,314.09x = 65,106,408.67
  5. Step 5: Solve for x
    x = 65,106,408.67/9,314.09
  6. Step 6: Final answer
    x = 6,990.10

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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.