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Finding the Fourth Proportional to 9,969.58, 13,757.53 and 5,492.61

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Solution

The fourth proportional to 9,969.58, 13,757.53 and 5,492.61 is: 7,579.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.58 : 13,757.53 = 5,492.61 : x
  2. Step 2: Convert to fraction form
    9,969.58/13,757.53 = 5,492.61/x
  3. Step 3: Cross multiply
    9,969.58x = 13,757.53 × 5,492.61
  4. Step 4: Simplify right side
    9,969.58x = 75,564,782.11
  5. Step 5: Solve for x
    x = 75,564,782.11/9,969.58
  6. Step 6: Final answer
    x = 7,579.53

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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.