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Finding the Fourth Proportional to 9,114.10, 13,671.15 and 7,234.90

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Solution

The fourth proportional to 9,114.10, 13,671.15 and 7,234.90 is: 10,852.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.10 : 13,671.15 = 7,234.90 : x
  2. Step 2: Convert to fraction form
    9,114.10/13,671.15 = 7,234.90/x
  3. Step 3: Cross multiply
    9,114.10x = 13,671.15 × 7,234.90
  4. Step 4: Simplify right side
    9,114.10x = 98,909,403.14
  5. Step 5: Solve for x
    x = 98,909,403.14/9,114.10
  6. Step 6: Final answer
    x = 10,852.35

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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.