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Finding the Fourth Proportional to 9,513.56, 14,272.22 and 3,670.20

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Solution

The fourth proportional to 9,513.56, 14,272.22 and 3,670.20 is: 5,506.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,513.56 : 14,272.22 = 3,670.20 : x
  2. Step 2: Convert to fraction form
    9,513.56/14,272.22 = 3,670.20/x
  3. Step 3: Cross multiply
    9,513.56x = 14,272.22 × 3,670.20
  4. Step 4: Simplify right side
    9,513.56x = 52,381,901.84
  5. Step 5: Solve for x
    x = 52,381,901.84/9,513.56
  6. Step 6: Final answer
    x = 5,506.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.