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Finding the Fourth Proportional to 9,543.51, 14,311.31 and 3,696.75

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Solution

The fourth proportional to 9,543.51, 14,311.31 and 3,696.75 is: 5,543.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543.51 : 14,311.31 = 3,696.75 : x
  2. Step 2: Convert to fraction form
    9,543.51/14,311.31 = 3,696.75/x
  3. Step 3: Cross multiply
    9,543.51x = 14,311.31 × 3,696.75
  4. Step 4: Simplify right side
    9,543.51x = 52,905,316.76
  5. Step 5: Solve for x
    x = 52,905,316.76/9,543.51
  6. Step 6: Final answer
    x = 5,543.59

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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.