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Finding the Fourth Proportional to 6,825.48, 9,409.14 and 4,829.88

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Solution

The fourth proportional to 6,825.48, 9,409.14 and 4,829.88 is: 6,658.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.48 : 9,409.14 = 4,829.88 : x
  2. Step 2: Convert to fraction form
    6,825.48/9,409.14 = 4,829.88/x
  3. Step 3: Cross multiply
    6,825.48x = 9,409.14 × 4,829.88
  4. Step 4: Simplify right side
    6,825.48x = 45,445,017.10
  5. Step 5: Solve for x
    x = 45,445,017.10/6,825.48
  6. Step 6: Final answer
    x = 6,658.14

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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.