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Finding the Fourth Proportional to 37,342.16, 56,013.28 and 9,638

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Solution

The fourth proportional to 37,342.16, 56,013.28 and 9,638 is: 14,457.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,342.16 : 56,013.28 = 9,638 : x
  2. Step 2: Convert to fraction form
    37,342.16/56,013.28 = 9,638/x
  3. Step 3: Cross multiply
    37,342.16x = 56,013.28 × 9,638
  4. Step 4: Simplify right side
    37,342.16x = 539,855,992.64
  5. Step 5: Solve for x
    x = 539,855,992.64/37,342.16
  6. Step 6: Final answer
    x = 14,457.01

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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.