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Finding the Fourth Proportional to 37,109, 55,666.74 and 9,407

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Solution

The fourth proportional to 37,109, 55,666.74 and 9,407 is: 14,111.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,109 : 55,666.74 = 9,407 : x
  2. Step 2: Convert to fraction form
    37,109/55,666.74 = 9,407/x
  3. Step 3: Cross multiply
    37,109x = 55,666.74 × 9,407
  4. Step 4: Simplify right side
    37,109x = 523,657,023.18
  5. Step 5: Solve for x
    x = 523,657,023.18/37,109
  6. Step 6: Final answer
    x = 14,111.32

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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.