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Finding the Fourth Proportional to 37,308, 55,962.16 and 9,605.92

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Solution

The fourth proportional to 37,308, 55,962.16 and 9,605.92 is: 14,408.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,308 : 55,962.16 = 9,605.92 : x
  2. Step 2: Convert to fraction form
    37,308/55,962.16 = 9,605.92/x
  3. Step 3: Cross multiply
    37,308x = 55,962.16 × 9,605.92
  4. Step 4: Simplify right side
    37,308x = 537,568,031.99
  5. Step 5: Solve for x
    x = 537,568,031.99/37,308
  6. Step 6: Final answer
    x = 14,408.92

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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.