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Finding the Fourth Proportional to 9,917.64, 13,686.68 and 5,441.40

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Solution

The fourth proportional to 9,917.64, 13,686.68 and 5,441.40 is: 7,509.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,917.64 : 13,686.68 = 5,441.40 : x
  2. Step 2: Convert to fraction form
    9,917.64/13,686.68 = 5,441.40/x
  3. Step 3: Cross multiply
    9,917.64x = 13,686.68 × 5,441.40
  4. Step 4: Simplify right side
    9,917.64x = 74,474,700.55
  5. Step 5: Solve for x
    x = 74,474,700.55/9,917.64
  6. Step 6: Final answer
    x = 7,509.32

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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.