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Finding the Fourth Proportional to 9,694.89, 14,547.30 and 4,152.87

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Solution

The fourth proportional to 9,694.89, 14,547.30 and 4,152.87 is: 6,231.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.89 : 14,547.30 = 4,152.87 : x
  2. Step 2: Convert to fraction form
    9,694.89/14,547.30 = 4,152.87/x
  3. Step 3: Cross multiply
    9,694.89x = 14,547.30 × 4,152.87
  4. Step 4: Simplify right side
    9,694.89x = 60,413,030.18
  5. Step 5: Solve for x
    x = 60,413,030.18/9,694.89
  6. Step 6: Final answer
    x = 6,231.43

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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.