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Finding the Fourth Proportional to 9,985.72, 13,838.55 and 9,844.78

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Solution

The fourth proportional to 9,985.72, 13,838.55 and 9,844.78 is: 13,643.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.72 : 13,838.55 = 9,844.78 : x
  2. Step 2: Convert to fraction form
    9,985.72/13,838.55 = 9,844.78/x
  3. Step 3: Cross multiply
    9,985.72x = 13,838.55 × 9,844.78
  4. Step 4: Simplify right side
    9,985.72x = 136,237,497.57
  5. Step 5: Solve for x
    x = 136,237,497.57/9,985.72
  6. Step 6: Final answer
    x = 13,643.23

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.