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Finding the Fourth Proportional to 37,440, 56,163.65 and 9,738

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Solution

The fourth proportional to 37,440, 56,163.65 and 9,738 is: 14,607.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,440 : 56,163.65 = 9,738 : x
  2. Step 2: Convert to fraction form
    37,440/56,163.65 = 9,738/x
  3. Step 3: Cross multiply
    37,440x = 56,163.65 × 9,738
  4. Step 4: Simplify right side
    37,440x = 546,921,575.01
  5. Step 5: Solve for x
    x = 546,921,575.01/37,440
  6. Step 6: Final answer
    x = 14,607.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.