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Finding the Fourth Proportional to 9,208.12, 13,812.18 and 4,017.64

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Solution

The fourth proportional to 9,208.12, 13,812.18 and 4,017.64 is: 6,026.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.12 : 13,812.18 = 4,017.64 : x
  2. Step 2: Convert to fraction form
    9,208.12/13,812.18 = 4,017.64/x
  3. Step 3: Cross multiply
    9,208.12x = 13,812.18 × 4,017.64
  4. Step 4: Simplify right side
    9,208.12x = 55,492,366.86
  5. Step 5: Solve for x
    x = 55,492,366.86/9,208.12
  6. Step 6: Final answer
    x = 6,026.46

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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.