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Finding the Fourth Proportional to 9,885.63, 13,642.34 and 5,409.77

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Solution

The fourth proportional to 9,885.63, 13,642.34 and 5,409.77 is: 7,465.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.63 : 13,642.34 = 5,409.77 : x
  2. Step 2: Convert to fraction form
    9,885.63/13,642.34 = 5,409.77/x
  3. Step 3: Cross multiply
    9,885.63x = 13,642.34 × 5,409.77
  4. Step 4: Simplify right side
    9,885.63x = 73,801,921.66
  5. Step 5: Solve for x
    x = 73,801,921.66/9,885.63
  6. Step 6: Final answer
    x = 7,465.58

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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.