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Finding the Fourth Proportional to 37,201.86, 55,802.88 and 9,122.04

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Solution

The fourth proportional to 37,201.86, 55,802.88 and 9,122.04 is: 13,683.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,201.86 : 55,802.88 = 9,122.04 : x
  2. Step 2: Convert to fraction form
    37,201.86/55,802.88 = 9,122.04/x
  3. Step 3: Cross multiply
    37,201.86x = 55,802.88 × 9,122.04
  4. Step 4: Simplify right side
    37,201.86x = 509,036,103.48
  5. Step 5: Solve for x
    x = 509,036,103.48/37,201.86
  6. Step 6: Final answer
    x = 13,683.08

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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.