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Finding the Fourth Proportional to 9,242.90, 13,856.06 and 3,395.42

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Solution

The fourth proportional to 9,242.90, 13,856.06 and 3,395.42 is: 5,090.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.90 : 13,856.06 = 3,395.42 : x
  2. Step 2: Convert to fraction form
    9,242.90/13,856.06 = 3,395.42/x
  3. Step 3: Cross multiply
    9,242.90x = 13,856.06 × 3,395.42
  4. Step 4: Simplify right side
    9,242.90x = 47,047,056.99
  5. Step 5: Solve for x
    x = 47,047,056.99/9,242.90
  6. Step 6: Final answer
    x = 5,090.08

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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.