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Finding the Fourth Proportional to 9,864.63, 13,616.24 and 6,881.49

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Solution

The fourth proportional to 9,864.63, 13,616.24 and 6,881.49 is: 9,498.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,864.63 : 13,616.24 = 6,881.49 : x
  2. Step 2: Convert to fraction form
    9,864.63/13,616.24 = 6,881.49/x
  3. Step 3: Cross multiply
    9,864.63x = 13,616.24 × 6,881.49
  4. Step 4: Simplify right side
    9,864.63x = 93,699,984.99
  5. Step 5: Solve for x
    x = 93,699,984.99/9,864.63
  6. Step 6: Final answer
    x = 9,498.58

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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.