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Finding the Fourth Proportional to 9,315.68, 12,855.80 and 5,337.14

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Solution

The fourth proportional to 9,315.68, 12,855.80 and 5,337.14 is: 7,365.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,315.68 : 12,855.80 = 5,337.14 : x
  2. Step 2: Convert to fraction form
    9,315.68/12,855.80 = 5,337.14/x
  3. Step 3: Cross multiply
    9,315.68x = 12,855.80 × 5,337.14
  4. Step 4: Simplify right side
    9,315.68x = 68,613,204.41
  5. Step 5: Solve for x
    x = 68,613,204.41/9,315.68
  6. Step 6: Final answer
    x = 7,365.35

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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.