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Finding the Fourth Proportional to 9,881.74, 13,637.01 and 5,405.79

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Solution

The fourth proportional to 9,881.74, 13,637.01 and 5,405.79 is: 7,460.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,881.74 : 13,637.01 = 5,405.79 : x
  2. Step 2: Convert to fraction form
    9,881.74/13,637.01 = 5,405.79/x
  3. Step 3: Cross multiply
    9,881.74x = 13,637.01 × 5,405.79
  4. Step 4: Simplify right side
    9,881.74x = 73,718,717.07
  5. Step 5: Solve for x
    x = 73,718,717.07/9,881.74
  6. Step 6: Final answer
    x = 7,460.09

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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.