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Finding the Fourth Proportional to 7,185.30, 9,909 and 4,664.72

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Solution

The fourth proportional to 7,185.30, 9,909 and 4,664.72 is: 6,432.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,185.30 : 9,909 = 4,664.72 : x
  2. Step 2: Convert to fraction form
    7,185.30/9,909 = 4,664.72/x
  3. Step 3: Cross multiply
    7,185.30x = 9,909 × 4,664.72
  4. Step 4: Simplify right side
    7,185.30x = 46,222,710.48
  5. Step 5: Solve for x
    x = 46,222,710.48/7,185.30
  6. Step 6: Final answer
    x = 6,432.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.