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Finding the Fourth Proportional to 37,185.75, 55,778.63 and 9,483.75

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Solution

The fourth proportional to 37,185.75, 55,778.63 and 9,483.75 is: 14,225.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,185.75 : 55,778.63 = 9,483.75 : x
  2. Step 2: Convert to fraction form
    37,185.75/55,778.63 = 9,483.75/x
  3. Step 3: Cross multiply
    37,185.75x = 55,778.63 × 9,483.75
  4. Step 4: Simplify right side
    37,185.75x = 528,990,534.84
  5. Step 5: Solve for x
    x = 528,990,534.84/37,185.75
  6. Step 6: Final answer
    x = 14,225.63

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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.