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Finding the Fourth Proportional to 9,284.89, 12,813.18 and 5,509.90

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Solution

The fourth proportional to 9,284.89, 12,813.18 and 5,509.90 is: 7,603.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.89 : 12,813.18 = 5,509.90 : x
  2. Step 2: Convert to fraction form
    9,284.89/12,813.18 = 5,509.90/x
  3. Step 3: Cross multiply
    9,284.89x = 12,813.18 × 5,509.90
  4. Step 4: Simplify right side
    9,284.89x = 70,599,340.48
  5. Step 5: Solve for x
    x = 70,599,340.48/9,284.89
  6. Step 6: Final answer
    x = 7,603.68

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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.