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Finding the Fourth Proportional to 9,031.72, 12,437.76 and 7,445.23

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Solution

The fourth proportional to 9,031.72, 12,437.76 and 7,445.23 is: 10,252.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031.72 : 12,437.76 = 7,445.23 : x
  2. Step 2: Convert to fraction form
    9,031.72/12,437.76 = 7,445.23/x
  3. Step 3: Cross multiply
    9,031.72x = 12,437.76 × 7,445.23
  4. Step 4: Simplify right side
    9,031.72x = 92,601,983.88
  5. Step 5: Solve for x
    x = 92,601,983.88/9,031.72
  6. Step 6: Final answer
    x = 10,252.97

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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.