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Finding the Fourth Proportional to 9,881.75, 14,826.58 and 4,338.32

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Solution

The fourth proportional to 9,881.75, 14,826.58 and 4,338.32 is: 6,509.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,881.75 : 14,826.58 = 4,338.32 : x
  2. Step 2: Convert to fraction form
    9,881.75/14,826.58 = 4,338.32/x
  3. Step 3: Cross multiply
    9,881.75x = 14,826.58 × 4,338.32
  4. Step 4: Simplify right side
    9,881.75x = 64,322,363.57
  5. Step 5: Solve for x
    x = 64,322,363.57/9,881.75
  6. Step 6: Final answer
    x = 6,509.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.