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Finding the Fourth Proportional to 6,291.70, 9,448.35 and 4,455.70

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Solution

The fourth proportional to 6,291.70, 9,448.35 and 4,455.70 is: 6,691.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.70 : 9,448.35 = 4,455.70 : x
  2. Step 2: Convert to fraction form
    6,291.70/9,448.35 = 4,455.70/x
  3. Step 3: Cross multiply
    6,291.70x = 9,448.35 × 4,455.70
  4. Step 4: Simplify right side
    6,291.70x = 42,099,013.10
  5. Step 5: Solve for x
    x = 42,099,013.10/6,291.70
  6. Step 6: Final answer
    x = 6,691.20

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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.