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Finding the Fourth Proportional to 9,313.93, 12,853.35 and 5,122.18

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Solution

The fourth proportional to 9,313.93, 12,853.35 and 5,122.18 is: 7,068.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.93 : 12,853.35 = 5,122.18 : x
  2. Step 2: Convert to fraction form
    9,313.93/12,853.35 = 5,122.18/x
  3. Step 3: Cross multiply
    9,313.93x = 12,853.35 × 5,122.18
  4. Step 4: Simplify right side
    9,313.93x = 65,837,172.30
  5. Step 5: Solve for x
    x = 65,837,172.30/9,313.93
  6. Step 6: Final answer
    x = 7,068.68

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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.