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Finding the Fourth Proportional to 9,543.48, 14,314.44 and 3,699.60

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Solution

The fourth proportional to 9,543.48, 14,314.44 and 3,699.60 is: 5,549.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543.48 : 14,314.44 = 3,699.60 : x
  2. Step 2: Convert to fraction form
    9,543.48/14,314.44 = 3,699.60/x
  3. Step 3: Cross multiply
    9,543.48x = 14,314.44 × 3,699.60
  4. Step 4: Simplify right side
    9,543.48x = 52,957,702.22
  5. Step 5: Solve for x
    x = 52,957,702.22/9,543.48
  6. Step 6: Final answer
    x = 5,549.10

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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.