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Finding the Fourth Proportional to 9,443.34, 13,031.64 and 5,251.50

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Solution

The fourth proportional to 9,443.34, 13,031.64 and 5,251.50 is: 7,246.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,443.34 : 13,031.64 = 5,251.50 : x
  2. Step 2: Convert to fraction form
    9,443.34/13,031.64 = 5,251.50/x
  3. Step 3: Cross multiply
    9,443.34x = 13,031.64 × 5,251.50
  4. Step 4: Simplify right side
    9,443.34x = 68,435,657.46
  5. Step 5: Solve for x
    x = 68,435,657.46/9,443.34
  6. Step 6: Final answer
    x = 7,246.98

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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.