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Finding the Fourth Proportional to 6,258.13, 9,384.90 and 1,874.10

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Solution

The fourth proportional to 6,258.13, 9,384.90 and 1,874.10 is: 2,810.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,258.13 : 9,384.90 = 1,874.10 : x
  2. Step 2: Convert to fraction form
    6,258.13/9,384.90 = 1,874.10/x
  3. Step 3: Cross multiply
    6,258.13x = 9,384.90 × 1,874.10
  4. Step 4: Simplify right side
    6,258.13x = 17,588,241.09
  5. Step 5: Solve for x
    x = 17,588,241.09/6,258.13
  6. Step 6: Final answer
    x = 2,810.46

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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.