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Finding the Fourth Proportional to 6,354.55, 9,509.70 and 3,854.28

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Solution

The fourth proportional to 6,354.55, 9,509.70 and 3,854.28 is: 5,768.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.55 : 9,509.70 = 3,854.28 : x
  2. Step 2: Convert to fraction form
    6,354.55/9,509.70 = 3,854.28/x
  3. Step 3: Cross multiply
    6,354.55x = 9,509.70 × 3,854.28
  4. Step 4: Simplify right side
    6,354.55x = 36,653,096.63
  5. Step 5: Solve for x
    x = 36,653,096.63/6,354.55
  6. Step 6: Final answer
    x = 5,768.01

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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.