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Finding the Fourth Proportional to 9,741.55, 13,443.06 and 5,492.57

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Solution

The fourth proportional to 9,741.55, 13,443.06 and 5,492.57 is: 7,579.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,741.55 : 13,443.06 = 5,492.57 : x
  2. Step 2: Convert to fraction form
    9,741.55/13,443.06 = 5,492.57/x
  3. Step 3: Cross multiply
    9,741.55x = 13,443.06 × 5,492.57
  4. Step 4: Simplify right side
    9,741.55x = 73,836,948.06
  5. Step 5: Solve for x
    x = 73,836,948.06/9,741.55
  6. Step 6: Final answer
    x = 7,579.59

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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.