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Finding the Fourth Proportional to 9,888.34, 13,645.92 and 5,412.28

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Solution

The fourth proportional to 9,888.34, 13,645.92 and 5,412.28 is: 7,468.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,888.34 : 13,645.92 = 5,412.28 : x
  2. Step 2: Convert to fraction form
    9,888.34/13,645.92 = 5,412.28/x
  3. Step 3: Cross multiply
    9,888.34x = 13,645.92 × 5,412.28
  4. Step 4: Simplify right side
    9,888.34x = 73,855,539.90
  5. Step 5: Solve for x
    x = 73,855,539.90/9,888.34
  6. Step 6: Final answer
    x = 7,468.95

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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.