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Finding the Fourth Proportional to 9,314.95, 12,855.36 and 5,337.04

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Solution

The fourth proportional to 9,314.95, 12,855.36 and 5,337.04 is: 7,365.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.95 : 12,855.36 = 5,337.04 : x
  2. Step 2: Convert to fraction form
    9,314.95/12,855.36 = 5,337.04/x
  3. Step 3: Cross multiply
    9,314.95x = 12,855.36 × 5,337.04
  4. Step 4: Simplify right side
    9,314.95x = 68,609,570.53
  5. Step 5: Solve for x
    x = 68,609,570.53/9,314.95
  6. Step 6: Final answer
    x = 7,365.53

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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.