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Finding the Fourth Proportional to 9,683.96, 13,371.40 and 7,442.30

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Solution

The fourth proportional to 9,683.96, 13,371.40 and 7,442.30 is: 10,276.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.96 : 13,371.40 = 7,442.30 : x
  2. Step 2: Convert to fraction form
    9,683.96/13,371.40 = 7,442.30/x
  3. Step 3: Cross multiply
    9,683.96x = 13,371.40 × 7,442.30
  4. Step 4: Simplify right side
    9,683.96x = 99,513,970.22
  5. Step 5: Solve for x
    x = 99,513,970.22/9,683.96
  6. Step 6: Final answer
    x = 10,276.16

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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.