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Finding the Fourth Proportional to 9,683.51, 13,364.19 and 5,705.87

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Solution

The fourth proportional to 9,683.51, 13,364.19 and 5,705.87 is: 7,874.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.51 : 13,364.19 = 5,705.87 : x
  2. Step 2: Convert to fraction form
    9,683.51/13,364.19 = 5,705.87/x
  3. Step 3: Cross multiply
    9,683.51x = 13,364.19 × 5,705.87
  4. Step 4: Simplify right side
    9,683.51x = 76,254,263.97
  5. Step 5: Solve for x
    x = 76,254,263.97/9,683.51
  6. Step 6: Final answer
    x = 7,874.66

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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.