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Finding the Fourth Proportional to 7,031.40, 9,707.22 and 5,262.36

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Solution

The fourth proportional to 7,031.40, 9,707.22 and 5,262.36 is: 7,264.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.40 : 9,707.22 = 5,262.36 : x
  2. Step 2: Convert to fraction form
    7,031.40/9,707.22 = 5,262.36/x
  3. Step 3: Cross multiply
    7,031.40x = 9,707.22 × 5,262.36
  4. Step 4: Simplify right side
    7,031.40x = 51,082,886.24
  5. Step 5: Solve for x
    x = 51,082,886.24/7,031.40
  6. Step 6: Final answer
    x = 7,264.97

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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.