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Finding the Fourth Proportional to 9,254.21, 13,875.14 and 5,096.16

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Solution

The fourth proportional to 9,254.21, 13,875.14 and 5,096.16 is: 7,640.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,254.21 : 13,875.14 = 5,096.16 : x
  2. Step 2: Convert to fraction form
    9,254.21/13,875.14 = 5,096.16/x
  3. Step 3: Cross multiply
    9,254.21x = 13,875.14 × 5,096.16
  4. Step 4: Simplify right side
    9,254.21x = 70,709,907.98
  5. Step 5: Solve for x
    x = 70,709,907.98/9,254.21
  6. Step 6: Final answer
    x = 7,640.84

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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.