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Finding the Fourth Proportional to 6,298.89, 9,448.67 and 1,916.01

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Solution

The fourth proportional to 6,298.89, 9,448.67 and 1,916.01 is: 2,874.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.89 : 9,448.67 = 1,916.01 : x
  2. Step 2: Convert to fraction form
    6,298.89/9,448.67 = 1,916.01/x
  3. Step 3: Cross multiply
    6,298.89x = 9,448.67 × 1,916.01
  4. Step 4: Simplify right side
    6,298.89x = 18,103,746.21
  5. Step 5: Solve for x
    x = 18,103,746.21/6,298.89
  6. Step 6: Final answer
    x = 2,874.12

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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.