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Finding the Fourth Proportional to 9,897.15, 14,843.46 and 2,877.15

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Solution

The fourth proportional to 9,897.15, 14,843.46 and 2,877.15 is: 4,315.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.15 : 14,843.46 = 2,877.15 : x
  2. Step 2: Convert to fraction form
    9,897.15/14,843.46 = 2,877.15/x
  3. Step 3: Cross multiply
    9,897.15x = 14,843.46 × 2,877.15
  4. Step 4: Simplify right side
    9,897.15x = 42,706,860.94
  5. Step 5: Solve for x
    x = 42,706,860.94/9,897.15
  6. Step 6: Final answer
    x = 4,315.07

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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.