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Finding the Fourth Proportional to 9,917.98, 13,686.73 and 5,441.60

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Solution

The fourth proportional to 9,917.98, 13,686.73 and 5,441.60 is: 7,509.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,917.98 : 13,686.73 = 5,441.60 : x
  2. Step 2: Convert to fraction form
    9,917.98/13,686.73 = 5,441.60/x
  3. Step 3: Cross multiply
    9,917.98x = 13,686.73 × 5,441.60
  4. Step 4: Simplify right side
    9,917.98x = 74,477,730.58
  5. Step 5: Solve for x
    x = 74,477,730.58/9,917.98
  6. Step 6: Final answer
    x = 7,509.37

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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.