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Finding the Fourth Proportional to 9,894.95, 14,846.34 and 4,344.43

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Solution

The fourth proportional to 9,894.95, 14,846.34 and 4,344.43 is: 6,518.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.95 : 14,846.34 = 4,344.43 : x
  2. Step 2: Convert to fraction form
    9,894.95/14,846.34 = 4,344.43/x
  3. Step 3: Cross multiply
    9,894.95x = 14,846.34 × 4,344.43
  4. Step 4: Simplify right side
    9,894.95x = 64,498,810.65
  5. Step 5: Solve for x
    x = 64,498,810.65/9,894.95
  6. Step 6: Final answer
    x = 6,518.36

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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.