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Finding the Fourth Proportional to 9,047.73, 13,573.70 and 2,807.41

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Solution

The fourth proportional to 9,047.73, 13,573.70 and 2,807.41 is: 4,211.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,047.73 : 13,573.70 = 2,807.41 : x
  2. Step 2: Convert to fraction form
    9,047.73/13,573.70 = 2,807.41/x
  3. Step 3: Cross multiply
    9,047.73x = 13,573.70 × 2,807.41
  4. Step 4: Simplify right side
    9,047.73x = 38,106,941.12
  5. Step 5: Solve for x
    x = 38,106,941.12/9,047.73
  6. Step 6: Final answer
    x = 4,211.77

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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.