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Finding the Fourth Proportional to 9,894.60, 14,828.94 and 4,044.54

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Solution

The fourth proportional to 9,894.60, 14,828.94 and 4,044.54 is: 6,061.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.60 : 14,828.94 = 4,044.54 : x
  2. Step 2: Convert to fraction form
    9,894.60/14,828.94 = 4,044.54/x
  3. Step 3: Cross multiply
    9,894.60x = 14,828.94 × 4,044.54
  4. Step 4: Simplify right side
    9,894.60x = 59,976,240.99
  5. Step 5: Solve for x
    x = 59,976,240.99/9,894.60
  6. Step 6: Final answer
    x = 6,061.51

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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.