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Finding the Fourth Proportional to 6,485.06, 9,718.47 and 3,707.57

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Solution

The fourth proportional to 6,485.06, 9,718.47 and 3,707.57 is: 5,556.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.06 : 9,718.47 = 3,707.57 : x
  2. Step 2: Convert to fraction form
    6,485.06/9,718.47 = 3,707.57/x
  3. Step 3: Cross multiply
    6,485.06x = 9,718.47 × 3,707.57
  4. Step 4: Simplify right side
    6,485.06x = 36,031,932.11
  5. Step 5: Solve for x
    x = 36,031,932.11/6,485.06
  6. Step 6: Final answer
    x = 5,556.14

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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.