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Finding the Fourth Proportional to 6,043.34, 9,064.47 and 3,543.14

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Solution

The fourth proportional to 6,043.34, 9,064.47 and 3,543.14 is: 5,314.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,043.34 : 9,064.47 = 3,543.14 : x
  2. Step 2: Convert to fraction form
    6,043.34/9,064.47 = 3,543.14/x
  3. Step 3: Cross multiply
    6,043.34x = 9,064.47 × 3,543.14
  4. Step 4: Simplify right side
    6,043.34x = 32,116,722.18
  5. Step 5: Solve for x
    x = 32,116,722.18/6,043.34
  6. Step 6: Final answer
    x = 5,314.40

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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.