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Finding the Fourth Proportional to 9,777.93, 14,664.62 and 5,830.29

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Solution

The fourth proportional to 9,777.93, 14,664.62 and 5,830.29 is: 8,744.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.93 : 14,664.62 = 5,830.29 : x
  2. Step 2: Convert to fraction form
    9,777.93/14,664.62 = 5,830.29/x
  3. Step 3: Cross multiply
    9,777.93x = 14,664.62 × 5,830.29
  4. Step 4: Simplify right side
    9,777.93x = 85,498,987.34
  5. Step 5: Solve for x
    x = 85,498,987.34/9,777.93
  6. Step 6: Final answer
    x = 8,744.08

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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.