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Finding the Fourth Proportional to 9,887.77, 13,643.80 and 5,695.21

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Solution

The fourth proportional to 9,887.77, 13,643.80 and 5,695.21 is: 7,858.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,887.77 : 13,643.80 = 5,695.21 : x
  2. Step 2: Convert to fraction form
    9,887.77/13,643.80 = 5,695.21/x
  3. Step 3: Cross multiply
    9,887.77x = 13,643.80 × 5,695.21
  4. Step 4: Simplify right side
    9,887.77x = 77,704,306.20
  5. Step 5: Solve for x
    x = 77,704,306.20/9,887.77
  6. Step 6: Final answer
    x = 7,858.63

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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.