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Finding the Fourth Proportional to 9,525.62, 13,145.25 and 5,492.90

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Solution

The fourth proportional to 9,525.62, 13,145.25 and 5,492.90 is: 7,580.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,525.62 : 13,145.25 = 5,492.90 : x
  2. Step 2: Convert to fraction form
    9,525.62/13,145.25 = 5,492.90/x
  3. Step 3: Cross multiply
    9,525.62x = 13,145.25 × 5,492.90
  4. Step 4: Simplify right side
    9,525.62x = 72,205,543.73
  5. Step 5: Solve for x
    x = 72,205,543.73/9,525.62
  6. Step 6: Final answer
    x = 7,580.14

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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.