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Finding the Fourth Proportional to 9,843, 14,746.50 and 7,739.16

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Solution

The fourth proportional to 9,843, 14,746.50 and 7,739.16 is: 11,594.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843 : 14,746.50 = 7,739.16 : x
  2. Step 2: Convert to fraction form
    9,843/14,746.50 = 7,739.16/x
  3. Step 3: Cross multiply
    9,843x = 14,746.50 × 7,739.16
  4. Step 4: Simplify right side
    9,843x = 114,125,522.94
  5. Step 5: Solve for x
    x = 114,125,522.94/9,843
  6. Step 6: Final answer
    x = 11,594.59

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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.