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Finding the Fourth Proportional to 9,573.16, 13,206.90 and 5,845

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Solution

The fourth proportional to 9,573.16, 13,206.90 and 5,845 is: 8,063.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.16 : 13,206.90 = 5,845 : x
  2. Step 2: Convert to fraction form
    9,573.16/13,206.90 = 5,845/x
  3. Step 3: Cross multiply
    9,573.16x = 13,206.90 × 5,845
  4. Step 4: Simplify right side
    9,573.16x = 77,194,330.50
  5. Step 5: Solve for x
    x = 77,194,330.50/9,573.16
  6. Step 6: Final answer
    x = 8,063.62

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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.