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Finding the Fourth Proportional to 9,783.51, 14,682.14 and 6,088.29

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Solution

The fourth proportional to 9,783.51, 14,682.14 and 6,088.29 is: 9,136.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.51 : 14,682.14 = 6,088.29 : x
  2. Step 2: Convert to fraction form
    9,783.51/14,682.14 = 6,088.29/x
  3. Step 3: Cross multiply
    9,783.51x = 14,682.14 × 6,088.29
  4. Step 4: Simplify right side
    9,783.51x = 89,389,126.14
  5. Step 5: Solve for x
    x = 89,389,126.14/9,783.51
  6. Step 6: Final answer
    x = 9,136.71

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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.