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Finding the Fourth Proportional to 9,897.84, 14,845.50 and 4,350.12

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Solution

The fourth proportional to 9,897.84, 14,845.50 and 4,350.12 is: 6,524.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.84 : 14,845.50 = 4,350.12 : x
  2. Step 2: Convert to fraction form
    9,897.84/14,845.50 = 4,350.12/x
  3. Step 3: Cross multiply
    9,897.84x = 14,845.50 × 4,350.12
  4. Step 4: Simplify right side
    9,897.84x = 64,579,706.46
  5. Step 5: Solve for x
    x = 64,579,706.46/9,897.84
  6. Step 6: Final answer
    x = 6,524.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.