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Finding the Fourth Proportional to 9,284.95, 12,813.29 and 5,306.21

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Solution

The fourth proportional to 9,284.95, 12,813.29 and 5,306.21 is: 7,322.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.95 : 12,813.29 = 5,306.21 : x
  2. Step 2: Convert to fraction form
    9,284.95/12,813.29 = 5,306.21/x
  3. Step 3: Cross multiply
    9,284.95x = 12,813.29 × 5,306.21
  4. Step 4: Simplify right side
    9,284.95x = 67,990,007.53
  5. Step 5: Solve for x
    x = 67,990,007.53/9,284.95
  6. Step 6: Final answer
    x = 7,322.60

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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.