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Finding the Fourth Proportional to 9,683.86, 14,505.54 and 5,786.14

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Solution

The fourth proportional to 9,683.86, 14,505.54 and 5,786.14 is: 8,667.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.86 : 14,505.54 = 5,786.14 : x
  2. Step 2: Convert to fraction form
    9,683.86/14,505.54 = 5,786.14/x
  3. Step 3: Cross multiply
    9,683.86x = 14,505.54 × 5,786.14
  4. Step 4: Simplify right side
    9,683.86x = 83,931,085.22
  5. Step 5: Solve for x
    x = 83,931,085.22/9,683.86
  6. Step 6: Final answer
    x = 8,667.11

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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.