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Finding the Fourth Proportional to 6,295.12, 9,429 and 4,097.32

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Solution

The fourth proportional to 6,295.12, 9,429 and 4,097.32 is: 6,137.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.12 : 9,429 = 4,097.32 : x
  2. Step 2: Convert to fraction form
    6,295.12/9,429 = 4,097.32/x
  3. Step 3: Cross multiply
    6,295.12x = 9,429 × 4,097.32
  4. Step 4: Simplify right side
    6,295.12x = 38,633,630.28
  5. Step 5: Solve for x
    x = 38,633,630.28/6,295.12
  6. Step 6: Final answer
    x = 6,137.08

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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.