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Finding the Fourth Proportional to 9,970.95, 14,950.20 and 3,727.74

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Solution

The fourth proportional to 9,970.95, 14,950.20 and 3,727.74 is: 5,589.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.95 : 14,950.20 = 3,727.74 : x
  2. Step 2: Convert to fraction form
    9,970.95/14,950.20 = 3,727.74/x
  3. Step 3: Cross multiply
    9,970.95x = 14,950.20 × 3,727.74
  4. Step 4: Simplify right side
    9,970.95x = 55,730,458.55
  5. Step 5: Solve for x
    x = 55,730,458.55/9,970.95
  6. Step 6: Final answer
    x = 5,589.28

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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.