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Finding the Fourth Proportional to 9,541.80, 14,314.05 and 3,699

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Solution

The fourth proportional to 9,541.80, 14,314.05 and 3,699 is: 5,549.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,541.80 : 14,314.05 = 3,699 : x
  2. Step 2: Convert to fraction form
    9,541.80/14,314.05 = 3,699/x
  3. Step 3: Cross multiply
    9,541.80x = 14,314.05 × 3,699
  4. Step 4: Simplify right side
    9,541.80x = 52,947,670.95
  5. Step 5: Solve for x
    x = 52,947,670.95/9,541.80
  6. Step 6: Final answer
    x = 5,549.02

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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.