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Finding the Fourth Proportional to 9,894.96, 14,840.85 and 3,657.93

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Solution

The fourth proportional to 9,894.96, 14,840.85 and 3,657.93 is: 5,486.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.96 : 14,840.85 = 3,657.93 : x
  2. Step 2: Convert to fraction form
    9,894.96/14,840.85 = 3,657.93/x
  3. Step 3: Cross multiply
    9,894.96x = 14,840.85 × 3,657.93
  4. Step 4: Simplify right side
    9,894.96x = 54,286,790.44
  5. Step 5: Solve for x
    x = 54,286,790.44/9,894.96
  6. Step 6: Final answer
    x = 5,486.31

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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.