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Finding the Fourth Proportional to 9,218.80, 13,817.26 and 5,315.14

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Solution

The fourth proportional to 9,218.80, 13,817.26 and 5,315.14 is: 7,966.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,218.80 : 13,817.26 = 5,315.14 : x
  2. Step 2: Convert to fraction form
    9,218.80/13,817.26 = 5,315.14/x
  3. Step 3: Cross multiply
    9,218.80x = 13,817.26 × 5,315.14
  4. Step 4: Simplify right side
    9,218.80x = 73,440,671.32
  5. Step 5: Solve for x
    x = 73,440,671.32/9,218.80
  6. Step 6: Final answer
    x = 7,966.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.