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Finding the Fourth Proportional to 9,878.86, 14,819.64 and 4,034.10

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Solution

The fourth proportional to 9,878.86, 14,819.64 and 4,034.10 is: 6,051.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.86 : 14,819.64 = 4,034.10 : x
  2. Step 2: Convert to fraction form
    9,878.86/14,819.64 = 4,034.10/x
  3. Step 3: Cross multiply
    9,878.86x = 14,819.64 × 4,034.10
  4. Step 4: Simplify right side
    9,878.86x = 59,783,887.80
  5. Step 5: Solve for x
    x = 59,783,887.80/9,878.86
  6. Step 6: Final answer
    x = 6,051.70

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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.