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Finding the Fourth Proportional to 9,835.46, 13,573.00 and 5,856.74

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Solution

The fourth proportional to 9,835.46, 13,573.00 and 5,856.74 is: 8,082.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.46 : 13,573.00 = 5,856.74 : x
  2. Step 2: Convert to fraction form
    9,835.46/13,573.00 = 5,856.74/x
  3. Step 3: Cross multiply
    9,835.46x = 13,573.00 × 5,856.74
  4. Step 4: Simplify right side
    9,835.46x = 79,493,502.74
  5. Step 5: Solve for x
    x = 79,493,502.74/9,835.46
  6. Step 6: Final answer
    x = 8,082.34

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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.