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Finding the Fourth Proportional to 6,114.11, 9,172.40 and 1,953.99

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Solution

The fourth proportional to 6,114.11, 9,172.40 and 1,953.99 is: 2,931.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.11 : 9,172.40 = 1,953.99 : x
  2. Step 2: Convert to fraction form
    6,114.11/9,172.40 = 1,953.99/x
  3. Step 3: Cross multiply
    6,114.11x = 9,172.40 × 1,953.99
  4. Step 4: Simplify right side
    6,114.11x = 17,922,768.11
  5. Step 5: Solve for x
    x = 17,922,768.11/6,114.11
  6. Step 6: Final answer
    x = 2,931.38

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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.