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Finding the Fourth Proportional to 6,492.09, 9,737.67 and 3,710.04

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Solution

The fourth proportional to 6,492.09, 9,737.67 and 3,710.04 is: 5,564.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.09 : 9,737.67 = 3,710.04 : x
  2. Step 2: Convert to fraction form
    6,492.09/9,737.67 = 3,710.04/x
  3. Step 3: Cross multiply
    6,492.09x = 9,737.67 × 3,710.04
  4. Step 4: Simplify right side
    6,492.09x = 36,127,145.21
  5. Step 5: Solve for x
    x = 36,127,145.21/6,492.09
  6. Step 6: Final answer
    x = 5,564.79

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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.