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Finding the Fourth Proportional to 9,887.04, 13,643.94 and 5,410.71

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Solution

The fourth proportional to 9,887.04, 13,643.94 and 5,410.71 is: 7,466.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,887.04 : 13,643.94 = 5,410.71 : x
  2. Step 2: Convert to fraction form
    9,887.04/13,643.94 = 5,410.71/x
  3. Step 3: Cross multiply
    9,887.04x = 13,643.94 × 5,410.71
  4. Step 4: Simplify right side
    9,887.04x = 73,823,402.60
  5. Step 5: Solve for x
    x = 73,823,402.60/9,887.04
  6. Step 6: Final answer
    x = 7,466.68

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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.