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Finding the Fourth Proportional to 6,473.85, 9,710.73 and 5,317.17

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Solution

The fourth proportional to 6,473.85, 9,710.73 and 5,317.17 is: 7,975.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.85 : 9,710.73 = 5,317.17 : x
  2. Step 2: Convert to fraction form
    6,473.85/9,710.73 = 5,317.17/x
  3. Step 3: Cross multiply
    6,473.85x = 9,710.73 × 5,317.17
  4. Step 4: Simplify right side
    6,473.85x = 51,633,602.23
  5. Step 5: Solve for x
    x = 51,633,602.23/6,473.85
  6. Step 6: Final answer
    x = 7,975.72

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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.