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Finding the Fourth Proportional to 9,898.14, 13,658.85 and 5,421

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Solution

The fourth proportional to 9,898.14, 13,658.85 and 5,421 is: 7,480.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.14 : 13,658.85 = 5,421 : x
  2. Step 2: Convert to fraction form
    9,898.14/13,658.85 = 5,421/x
  3. Step 3: Cross multiply
    9,898.14x = 13,658.85 × 5,421
  4. Step 4: Simplify right side
    9,898.14x = 74,044,625.85
  5. Step 5: Solve for x
    x = 74,044,625.85/9,898.14
  6. Step 6: Final answer
    x = 7,480.66

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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.