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Finding the Fourth Proportional to 9,208.08, 13,804.20 and 5,878.80

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Solution

The fourth proportional to 9,208.08, 13,804.20 and 5,878.80 is: 8,813.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.08 : 13,804.20 = 5,878.80 : x
  2. Step 2: Convert to fraction form
    9,208.08/13,804.20 = 5,878.80/x
  3. Step 3: Cross multiply
    9,208.08x = 13,804.20 × 5,878.80
  4. Step 4: Simplify right side
    9,208.08x = 81,152,130.96
  5. Step 5: Solve for x
    x = 81,152,130.96/9,208.08
  6. Step 6: Final answer
    x = 8,813.14

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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.