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Finding the Fourth Proportional to 9,897.74, 13,658.90 and 5,421.78

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Solution

The fourth proportional to 9,897.74, 13,658.90 and 5,421.78 is: 7,482.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.74 : 13,658.90 = 5,421.78 : x
  2. Step 2: Convert to fraction form
    9,897.74/13,658.90 = 5,421.78/x
  3. Step 3: Cross multiply
    9,897.74x = 13,658.90 × 5,421.78
  4. Step 4: Simplify right side
    9,897.74x = 74,055,550.84
  5. Step 5: Solve for x
    x = 74,055,550.84/9,897.74
  6. Step 6: Final answer
    x = 7,482.07

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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.