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Finding the Fourth Proportional to 9,897.80, 13,658.66 and 5,421.45

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Solution

The fourth proportional to 9,897.80, 13,658.66 and 5,421.45 is: 7,481.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.80 : 13,658.66 = 5,421.45 : x
  2. Step 2: Convert to fraction form
    9,897.80/13,658.66 = 5,421.45/x
  3. Step 3: Cross multiply
    9,897.80x = 13,658.66 × 5,421.45
  4. Step 4: Simplify right side
    9,897.80x = 74,049,742.26
  5. Step 5: Solve for x
    x = 74,049,742.26/9,897.80
  6. Step 6: Final answer
    x = 7,481.43

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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.