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Finding the Fourth Proportional to 9,881.88, 14,822.86 and 4,039.08

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Solution

The fourth proportional to 9,881.88, 14,822.86 and 4,039.08 is: 6,058.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,881.88 : 14,822.86 = 4,039.08 : x
  2. Step 2: Convert to fraction form
    9,881.88/14,822.86 = 4,039.08/x
  3. Step 3: Cross multiply
    9,881.88x = 14,822.86 × 4,039.08
  4. Step 4: Simplify right side
    9,881.88x = 59,870,717.37
  5. Step 5: Solve for x
    x = 59,870,717.37/9,881.88
  6. Step 6: Final answer
    x = 6,058.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.