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Finding the Fourth Proportional to 9,205.78, 13,808.60 and 5,509.04

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Solution

The fourth proportional to 9,205.78, 13,808.60 and 5,509.04 is: 8,263.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.78 : 13,808.60 = 5,509.04 : x
  2. Step 2: Convert to fraction form
    9,205.78/13,808.60 = 5,509.04/x
  3. Step 3: Cross multiply
    9,205.78x = 13,808.60 × 5,509.04
  4. Step 4: Simplify right side
    9,205.78x = 76,072,129.74
  5. Step 5: Solve for x
    x = 76,072,129.74/9,205.78
  6. Step 6: Final answer
    x = 8,263.52

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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.