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Finding the Fourth Proportional to 9,897.42, 13,658.58 and 5,421.08

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Solution

The fourth proportional to 9,897.42, 13,658.58 and 5,421.08 is: 7,481.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.42 : 13,658.58 = 5,421.08 : x
  2. Step 2: Convert to fraction form
    9,897.42/13,658.58 = 5,421.08/x
  3. Step 3: Cross multiply
    9,897.42x = 13,658.58 × 5,421.08
  4. Step 4: Simplify right side
    9,897.42x = 74,044,254.87
  5. Step 5: Solve for x
    x = 74,044,254.87/9,897.42
  6. Step 6: Final answer
    x = 7,481.17

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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.