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Finding the Fourth Proportional to 6,651.25, 9,970.14 and 4,312.74

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Solution

The fourth proportional to 6,651.25, 9,970.14 and 4,312.74 is: 6,464.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,651.25 : 9,970.14 = 4,312.74 : x
  2. Step 2: Convert to fraction form
    6,651.25/9,970.14 = 4,312.74/x
  3. Step 3: Cross multiply
    6,651.25x = 9,970.14 × 4,312.74
  4. Step 4: Simplify right side
    6,651.25x = 42,998,594.80
  5. Step 5: Solve for x
    x = 42,998,594.80/6,651.25
  6. Step 6: Final answer
    x = 6,464.74

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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.