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Finding the Fourth Proportional to 9,499.48, 14,248.26 and 3,343

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Solution

The fourth proportional to 9,499.48, 14,248.26 and 3,343 is: 5,014.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,499.48 : 14,248.26 = 3,343 : x
  2. Step 2: Convert to fraction form
    9,499.48/14,248.26 = 3,343/x
  3. Step 3: Cross multiply
    9,499.48x = 14,248.26 × 3,343
  4. Step 4: Simplify right side
    9,499.48x = 47,631,933.18
  5. Step 5: Solve for x
    x = 47,631,933.18/9,499.48
  6. Step 6: Final answer
    x = 5,014.16

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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.