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Finding the Fourth Proportional to 6,317.90, 9,482.01 and 4,470.79

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Solution

The fourth proportional to 6,317.90, 9,482.01 and 4,470.79 is: 6,709.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317.90 : 9,482.01 = 4,470.79 : x
  2. Step 2: Convert to fraction form
    6,317.90/9,482.01 = 4,470.79/x
  3. Step 3: Cross multiply
    6,317.90x = 9,482.01 × 4,470.79
  4. Step 4: Simplify right side
    6,317.90x = 42,392,053.13
  5. Step 5: Solve for x
    x = 42,392,053.13/6,317.90
  6. Step 6: Final answer
    x = 6,709.84

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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.