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Finding the Fourth Proportional to 6,707.16, 9,255.80 and 3,723.02

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Solution

The fourth proportional to 6,707.16, 9,255.80 and 3,723.02 is: 5,137.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.16 : 9,255.80 = 3,723.02 : x
  2. Step 2: Convert to fraction form
    6,707.16/9,255.80 = 3,723.02/x
  3. Step 3: Cross multiply
    6,707.16x = 9,255.80 × 3,723.02
  4. Step 4: Simplify right side
    6,707.16x = 34,459,482.24
  5. Step 5: Solve for x
    x = 34,459,482.24/6,707.16
  6. Step 6: Final answer
    x = 5,137.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.