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Finding the Fourth Proportional to 9,764.99, 13,475.95 and 5,985.98

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Solution

The fourth proportional to 9,764.99, 13,475.95 and 5,985.98 is: 8,260.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.99 : 13,475.95 = 5,985.98 : x
  2. Step 2: Convert to fraction form
    9,764.99/13,475.95 = 5,985.98/x
  3. Step 3: Cross multiply
    9,764.99x = 13,475.95 × 5,985.98
  4. Step 4: Simplify right side
    9,764.99x = 80,666,785.91
  5. Step 5: Solve for x
    x = 80,666,785.91/9,764.99
  6. Step 6: Final answer
    x = 8,260.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.