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Finding the Fourth Proportional to 9,889.17, 13,643.66 and 5,637.17

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Solution

The fourth proportional to 9,889.17, 13,643.66 and 5,637.17 is: 7,777.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889.17 : 13,643.66 = 5,637.17 : x
  2. Step 2: Convert to fraction form
    9,889.17/13,643.66 = 5,637.17/x
  3. Step 3: Cross multiply
    9,889.17x = 13,643.66 × 5,637.17
  4. Step 4: Simplify right side
    9,889.17x = 76,911,534.44
  5. Step 5: Solve for x
    x = 76,911,534.44/9,889.17
  6. Step 6: Final answer
    x = 7,777.35

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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.