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Finding the Fourth Proportional to 9,917.92, 13,686.64 and 5,441.66

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Solution

The fourth proportional to 9,917.92, 13,686.64 and 5,441.66 is: 7,509.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,917.92 : 13,686.64 = 5,441.66 : x
  2. Step 2: Convert to fraction form
    9,917.92/13,686.64 = 5,441.66/x
  3. Step 3: Cross multiply
    9,917.92x = 13,686.64 × 5,441.66
  4. Step 4: Simplify right side
    9,917.92x = 74,478,041.42
  5. Step 5: Solve for x
    x = 74,478,041.42/9,917.92
  6. Step 6: Final answer
    x = 7,509.44

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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.