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Finding the Fourth Proportional to 7,024.68, 9,693.84 and 4,193.28

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Solution

The fourth proportional to 7,024.68, 9,693.84 and 4,193.28 is: 5,786.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.68 : 9,693.84 = 4,193.28 : x
  2. Step 2: Convert to fraction form
    7,024.68/9,693.84 = 4,193.28/x
  3. Step 3: Cross multiply
    7,024.68x = 9,693.84 × 4,193.28
  4. Step 4: Simplify right side
    7,024.68x = 40,648,985.40
  5. Step 5: Solve for x
    x = 40,648,985.40/7,024.68
  6. Step 6: Final answer
    x = 5,786.60

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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.