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Finding the Fourth Proportional to 9,468.75, 13,066.93 and 5,492.22

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Solution

The fourth proportional to 9,468.75, 13,066.93 and 5,492.22 is: 7,579.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.75 : 13,066.93 = 5,492.22 : x
  2. Step 2: Convert to fraction form
    9,468.75/13,066.93 = 5,492.22/x
  3. Step 3: Cross multiply
    9,468.75x = 13,066.93 × 5,492.22
  4. Step 4: Simplify right side
    9,468.75x = 71,766,454.28
  5. Step 5: Solve for x
    x = 71,766,454.28/9,468.75
  6. Step 6: Final answer
    x = 7,579.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.