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Finding the Fourth Proportional to 9,874.31, 14,816.93 and 5,915.84

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Solution

The fourth proportional to 9,874.31, 14,816.93 and 5,915.84 is: 8,877.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.31 : 14,816.93 = 5,915.84 : x
  2. Step 2: Convert to fraction form
    9,874.31/14,816.93 = 5,915.84/x
  3. Step 3: Cross multiply
    9,874.31x = 14,816.93 × 5,915.84
  4. Step 4: Simplify right side
    9,874.31x = 87,654,483.51
  5. Step 5: Solve for x
    x = 87,654,483.51/9,874.31
  6. Step 6: Final answer
    x = 8,877.03

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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.