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Finding the Fourth Proportional to 9,886.94, 13,643.95 and 5,410.69

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Solution

The fourth proportional to 9,886.94, 13,643.95 and 5,410.69 is: 7,466.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,886.94 : 13,643.95 = 5,410.69 : x
  2. Step 2: Convert to fraction form
    9,886.94/13,643.95 = 5,410.69/x
  3. Step 3: Cross multiply
    9,886.94x = 13,643.95 × 5,410.69
  4. Step 4: Simplify right side
    9,886.94x = 73,823,183.83
  5. Step 5: Solve for x
    x = 73,823,183.83/9,886.94
  6. Step 6: Final answer
    x = 7,466.74

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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.