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Finding the Fourth Proportional to 9,313.89, 12,853.40 and 5,122.14

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Solution

The fourth proportional to 9,313.89, 12,853.40 and 5,122.14 is: 7,068.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.89 : 12,853.40 = 5,122.14 : x
  2. Step 2: Convert to fraction form
    9,313.89/12,853.40 = 5,122.14/x
  3. Step 3: Cross multiply
    9,313.89x = 12,853.40 × 5,122.14
  4. Step 4: Simplify right side
    9,313.89x = 65,836,888.67
  5. Step 5: Solve for x
    x = 65,836,888.67/9,313.89
  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.