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Finding the Fourth Proportional to 9,683.52, 13,365.27 and 5,706

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Solution

The fourth proportional to 9,683.52, 13,365.27 and 5,706 is: 7,875.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.52 : 13,365.27 = 5,706 : x
  2. Step 2: Convert to fraction form
    9,683.52/13,365.27 = 5,706/x
  3. Step 3: Cross multiply
    9,683.52x = 13,365.27 × 5,706
  4. Step 4: Simplify right side
    9,683.52x = 76,262,230.62
  5. Step 5: Solve for x
    x = 76,262,230.62/9,683.52
  6. Step 6: Final answer
    x = 7,875.47

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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.