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Finding the Fourth Proportional to 9,851.85, 14,754.28 and 5,683.14

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Solution

The fourth proportional to 9,851.85, 14,754.28 and 5,683.14 is: 8,511.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.85 : 14,754.28 = 5,683.14 : x
  2. Step 2: Convert to fraction form
    9,851.85/14,754.28 = 5,683.14/x
  3. Step 3: Cross multiply
    9,851.85x = 14,754.28 × 5,683.14
  4. Step 4: Simplify right side
    9,851.85x = 83,850,638.84
  5. Step 5: Solve for x
    x = 83,850,638.84/9,851.85
  6. Step 6: Final answer
    x = 8,511.16

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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.