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Finding the Fourth Proportional to 6,133.17, 9,197.04 and 1,749.63

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Solution

The fourth proportional to 6,133.17, 9,197.04 and 1,749.63 is: 2,623.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.17 : 9,197.04 = 1,749.63 : x
  2. Step 2: Convert to fraction form
    6,133.17/9,197.04 = 1,749.63/x
  3. Step 3: Cross multiply
    6,133.17x = 9,197.04 × 1,749.63
  4. Step 4: Simplify right side
    6,133.17x = 16,091,417.10
  5. Step 5: Solve for x
    x = 16,091,417.10/6,133.17
  6. Step 6: Final answer
    x = 2,623.67

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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.