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Finding the Fourth Proportional to 9,930.77, 14,852.40 and 5,759.98

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Solution

The fourth proportional to 9,930.77, 14,852.40 and 5,759.98 is: 8,614.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,930.77 : 14,852.40 = 5,759.98 : x
  2. Step 2: Convert to fraction form
    9,930.77/14,852.40 = 5,759.98/x
  3. Step 3: Cross multiply
    9,930.77x = 14,852.40 × 5,759.98
  4. Step 4: Simplify right side
    9,930.77x = 85,549,526.95
  5. Step 5: Solve for x
    x = 85,549,526.95/9,930.77
  6. Step 6: Final answer
    x = 8,614.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.