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Finding the Fourth Proportional to 9,141.48, 13,714.04 and 3,298.55

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Solution

The fourth proportional to 9,141.48, 13,714.04 and 3,298.55 is: 4,948.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.48 : 13,714.04 = 3,298.55 : x
  2. Step 2: Convert to fraction form
    9,141.48/13,714.04 = 3,298.55/x
  3. Step 3: Cross multiply
    9,141.48x = 13,714.04 × 3,298.55
  4. Step 4: Simplify right side
    9,141.48x = 45,236,386.32
  5. Step 5: Solve for x
    x = 45,236,386.32/9,141.48
  6. Step 6: Final answer
    x = 4,948.48

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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.