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Finding the Fourth Proportional to 9,977.70, 14,967.01 and 3,403.95

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Solution

The fourth proportional to 9,977.70, 14,967.01 and 3,403.95 is: 5,106.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.70 : 14,967.01 = 3,403.95 : x
  2. Step 2: Convert to fraction form
    9,977.70/14,967.01 = 3,403.95/x
  3. Step 3: Cross multiply
    9,977.70x = 14,967.01 × 3,403.95
  4. Step 4: Simplify right side
    9,977.70x = 50,946,901.82
  5. Step 5: Solve for x
    x = 50,946,901.82/9,977.70
  6. Step 6: Final answer
    x = 5,106.07

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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.