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Finding the Fourth Proportional to 9,136.99, 13,705.56 and 7,812.16

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Solution

The fourth proportional to 9,136.99, 13,705.56 and 7,812.16 is: 11,718.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.99 : 13,705.56 = 7,812.16 : x
  2. Step 2: Convert to fraction form
    9,136.99/13,705.56 = 7,812.16/x
  3. Step 3: Cross multiply
    9,136.99x = 13,705.56 × 7,812.16
  4. Step 4: Simplify right side
    9,136.99x = 107,070,027.61
  5. Step 5: Solve for x
    x = 107,070,027.61/9,136.99
  6. Step 6: Final answer
    x = 11,718.30

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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.