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Finding the Fourth Proportional to 9,917.82, 13,686.98 and 5,441.74

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Solution

The fourth proportional to 9,917.82, 13,686.98 and 5,441.74 is: 7,509.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,917.82 : 13,686.98 = 5,441.74 : x
  2. Step 2: Convert to fraction form
    9,917.82/13,686.98 = 5,441.74/x
  3. Step 3: Cross multiply
    9,917.82x = 13,686.98 × 5,441.74
  4. Step 4: Simplify right side
    9,917.82x = 74,480,925.12
  5. Step 5: Solve for x
    x = 74,480,925.12/9,917.82
  6. Step 6: Final answer
    x = 7,509.81

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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.