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Finding the Fourth Proportional to 9,888.76, 13,646.46 and 5,412.55

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Solution

The fourth proportional to 9,888.76, 13,646.46 and 5,412.55 is: 7,469.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,888.76 : 13,646.46 = 5,412.55 : x
  2. Step 2: Convert to fraction form
    9,888.76/13,646.46 = 5,412.55/x
  3. Step 3: Cross multiply
    9,888.76x = 13,646.46 × 5,412.55
  4. Step 4: Simplify right side
    9,888.76x = 73,862,147.07
  5. Step 5: Solve for x
    x = 73,862,147.07/9,888.76
  6. Step 6: Final answer
    x = 7,469.30

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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.