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Finding the Fourth Proportional to 6,089.64, 9,136.04 and 1,707.14

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Solution

The fourth proportional to 6,089.64, 9,136.04 and 1,707.14 is: 2,561.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.64 : 9,136.04 = 1,707.14 : x
  2. Step 2: Convert to fraction form
    6,089.64/9,136.04 = 1,707.14/x
  3. Step 3: Cross multiply
    6,089.64x = 9,136.04 × 1,707.14
  4. Step 4: Simplify right side
    6,089.64x = 15,596,499.33
  5. Step 5: Solve for x
    x = 15,596,499.33/6,089.64
  6. Step 6: Final answer
    x = 2,561.15

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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.