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Finding the Fourth Proportional to 9,894.03, 14,840.97 and 4,050.63

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Solution

The fourth proportional to 9,894.03, 14,840.97 and 4,050.63 is: 6,075.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.03 : 14,840.97 = 4,050.63 : x
  2. Step 2: Convert to fraction form
    9,894.03/14,840.97 = 4,050.63/x
  3. Step 3: Cross multiply
    9,894.03x = 14,840.97 × 4,050.63
  4. Step 4: Simplify right side
    9,894.03x = 60,115,278.31
  5. Step 5: Solve for x
    x = 60,115,278.31/9,894.03
  6. Step 6: Final answer
    x = 6,075.91

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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.