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Finding the Fourth Proportional to 6,225.64, 9,335.19 and 1,842.46

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Solution

The fourth proportional to 6,225.64, 9,335.19 and 1,842.46 is: 2,762.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,225.64 : 9,335.19 = 1,842.46 : x
  2. Step 2: Convert to fraction form
    6,225.64/9,335.19 = 1,842.46/x
  3. Step 3: Cross multiply
    6,225.64x = 9,335.19 × 1,842.46
  4. Step 4: Simplify right side
    6,225.64x = 17,199,714.17
  5. Step 5: Solve for x
    x = 17,199,714.17/6,225.64
  6. Step 6: Final answer
    x = 2,762.72

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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.