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Finding the Fourth Proportional to 9,188.83, 13,775.16 and 3,646.09

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Solution

The fourth proportional to 9,188.83, 13,775.16 and 3,646.09 is: 5,465.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.83 : 13,775.16 = 3,646.09 : x
  2. Step 2: Convert to fraction form
    9,188.83/13,775.16 = 3,646.09/x
  3. Step 3: Cross multiply
    9,188.83x = 13,775.16 × 3,646.09
  4. Step 4: Simplify right side
    9,188.83x = 50,225,473.12
  5. Step 5: Solve for x
    x = 50,225,473.12/9,188.83
  6. Step 6: Final answer
    x = 5,465.93

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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.