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Finding the Fourth Proportional to 9,877.89, 14,816.84 and 4,034.50

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Solution

The fourth proportional to 9,877.89, 14,816.84 and 4,034.50 is: 6,051.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877.89 : 14,816.84 = 4,034.50 : x
  2. Step 2: Convert to fraction form
    9,877.89/14,816.84 = 4,034.50/x
  3. Step 3: Cross multiply
    9,877.89x = 14,816.84 × 4,034.50
  4. Step 4: Simplify right side
    9,877.89x = 59,778,540.98
  5. Step 5: Solve for x
    x = 59,778,540.98/9,877.89
  6. Step 6: Final answer
    x = 6,051.75

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Why These Related Problems?

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