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Finding the Fourth Proportional to 9,807.72, 14,683.50 and 9,186.96

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Solution

The fourth proportional to 9,807.72, 14,683.50 and 9,186.96 is: 13,754.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.72 : 14,683.50 = 9,186.96 : x
  2. Step 2: Convert to fraction form
    9,807.72/14,683.50 = 9,186.96/x
  3. Step 3: Cross multiply
    9,807.72x = 14,683.50 × 9,186.96
  4. Step 4: Simplify right side
    9,807.72x = 134,896,727.16
  5. Step 5: Solve for x
    x = 134,896,727.16/9,807.72
  6. Step 6: Final answer
    x = 13,754.14

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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.