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Finding the Fourth Proportional to 37,071, 55,606.77 and 9,369

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Solution

The fourth proportional to 37,071, 55,606.77 and 9,369 is: 14,053.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,071 : 55,606.77 = 9,369 : x
  2. Step 2: Convert to fraction form
    37,071/55,606.77 = 9,369/x
  3. Step 3: Cross multiply
    37,071x = 55,606.77 × 9,369
  4. Step 4: Simplify right side
    37,071x = 520,979,828.13
  5. Step 5: Solve for x
    x = 520,979,828.13/37,071
  6. Step 6: Final answer
    x = 14,053.57

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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.