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Finding the Fourth Proportional to 9,481.47, 13,069.53 and 6,492.14

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Solution

The fourth proportional to 9,481.47, 13,069.53 and 6,492.14 is: 8,948.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,481.47 : 13,069.53 = 6,492.14 : x
  2. Step 2: Convert to fraction form
    9,481.47/13,069.53 = 6,492.14/x
  3. Step 3: Cross multiply
    9,481.47x = 13,069.53 × 6,492.14
  4. Step 4: Simplify right side
    9,481.47x = 84,849,153.15
  5. Step 5: Solve for x
    x = 84,849,153.15/9,481.47
  6. Step 6: Final answer
    x = 8,948.94

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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.