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Finding the Fourth Proportional to 9,917.83, 13,686.46 and 5,441.64

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Solution

The fourth proportional to 9,917.83, 13,686.46 and 5,441.64 is: 7,509.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,917.83 : 13,686.46 = 5,441.64 : x
  2. Step 2: Convert to fraction form
    9,917.83/13,686.46 = 5,441.64/x
  3. Step 3: Cross multiply
    9,917.83x = 13,686.46 × 5,441.64
  4. Step 4: Simplify right side
    9,917.83x = 74,476,788.19
  5. Step 5: Solve for x
    x = 74,476,788.19/9,917.83
  6. Step 6: Final answer
    x = 7,509.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.