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Finding the Fourth Proportional to 9,490.22, 14,243.06 and 6,719.58

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Solution

The fourth proportional to 9,490.22, 14,243.06 and 6,719.58 is: 10,084.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,490.22 : 14,243.06 = 6,719.58 : x
  2. Step 2: Convert to fraction form
    9,490.22/14,243.06 = 6,719.58/x
  3. Step 3: Cross multiply
    9,490.22x = 14,243.06 × 6,719.58
  4. Step 4: Simplify right side
    9,490.22x = 95,707,381.11
  5. Step 5: Solve for x
    x = 95,707,381.11/9,490.22
  6. Step 6: Final answer
    x = 10,084.84

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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.