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Finding the Fourth Proportional to 9,683.48, 13,366.07 and 5,705.87

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Solution

The fourth proportional to 9,683.48, 13,366.07 and 5,705.87 is: 7,875.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.48 : 13,366.07 = 5,705.87 : x
  2. Step 2: Convert to fraction form
    9,683.48/13,366.07 = 5,705.87/x
  3. Step 3: Cross multiply
    9,683.48x = 13,366.07 × 5,705.87
  4. Step 4: Simplify right side
    9,683.48x = 76,264,962.47
  5. Step 5: Solve for x
    x = 76,264,962.47/9,683.48
  6. Step 6: Final answer
    x = 7,875.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.