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Finding the Fourth Proportional to 6,374.22, 9,543.62 and 4,809.51

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Solution

The fourth proportional to 6,374.22, 9,543.62 and 4,809.51 is: 7,200.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374.22 : 9,543.62 = 4,809.51 : x
  2. Step 2: Convert to fraction form
    6,374.22/9,543.62 = 4,809.51/x
  3. Step 3: Cross multiply
    6,374.22x = 9,543.62 × 4,809.51
  4. Step 4: Simplify right side
    6,374.22x = 45,900,064.06
  5. Step 5: Solve for x
    x = 45,900,064.06/6,374.22
  6. Step 6: Final answer
    x = 7,200.89

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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.