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Finding the Fourth Proportional to 9,897.36, 13,658.34 and 5,421.38

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Solution

The fourth proportional to 9,897.36, 13,658.34 and 5,421.38 is: 7,481.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.36 : 13,658.34 = 5,421.38 : x
  2. Step 2: Convert to fraction form
    9,897.36/13,658.34 = 5,421.38/x
  3. Step 3: Cross multiply
    9,897.36x = 13,658.34 × 5,421.38
  4. Step 4: Simplify right side
    9,897.36x = 74,047,051.31
  5. Step 5: Solve for x
    x = 74,047,051.31/9,897.36
  6. Step 6: Final answer
    x = 7,481.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.