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Finding the Fourth Proportional to 9,047.72, 13,573.70 and 2,807.40

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Solution

The fourth proportional to 9,047.72, 13,573.70 and 2,807.40 is: 4,211.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,047.72 : 13,573.70 = 2,807.40 : x
  2. Step 2: Convert to fraction form
    9,047.72/13,573.70 = 2,807.40/x
  3. Step 3: Cross multiply
    9,047.72x = 13,573.70 × 2,807.40
  4. Step 4: Simplify right side
    9,047.72x = 38,106,805.38
  5. Step 5: Solve for x
    x = 38,106,805.38/9,047.72
  6. Step 6: Final answer
    x = 4,211.76

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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.