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Finding the Fourth Proportional to 9,294.84, 12,826.40 and 5,518.16

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Solution

The fourth proportional to 9,294.84, 12,826.40 and 5,518.16 is: 7,614.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.84 : 12,826.40 = 5,518.16 : x
  2. Step 2: Convert to fraction form
    9,294.84/12,826.40 = 5,518.16/x
  3. Step 3: Cross multiply
    9,294.84x = 12,826.40 × 5,518.16
  4. Step 4: Simplify right side
    9,294.84x = 70,778,127.42
  5. Step 5: Solve for x
    x = 70,778,127.42/9,294.84
  6. Step 6: Final answer
    x = 7,614.78

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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.