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Finding the Fourth Proportional to 9,894.78, 14,842.13 and 4,051.40

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Solution

The fourth proportional to 9,894.78, 14,842.13 and 4,051.40 is: 6,077.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.78 : 14,842.13 = 4,051.40 : x
  2. Step 2: Convert to fraction form
    9,894.78/14,842.13 = 4,051.40/x
  3. Step 3: Cross multiply
    9,894.78x = 14,842.13 × 4,051.40
  4. Step 4: Simplify right side
    9,894.78x = 60,131,311.01
  5. Step 5: Solve for x
    x = 60,131,311.01/9,894.78
  6. Step 6: Final answer
    x = 6,077.07

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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.