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Finding the Fourth Proportional to 9,894.13, 14,840.84 and 2,968.45

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Solution

The fourth proportional to 9,894.13, 14,840.84 and 2,968.45 is: 4,452.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.13 : 14,840.84 = 2,968.45 : x
  2. Step 2: Convert to fraction form
    9,894.13/14,840.84 = 2,968.45/x
  3. Step 3: Cross multiply
    9,894.13x = 14,840.84 × 2,968.45
  4. Step 4: Simplify right side
    9,894.13x = 44,054,276.66
  5. Step 5: Solve for x
    x = 44,054,276.66/9,894.13
  6. Step 6: Final answer
    x = 4,452.57

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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.