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Finding the Fourth Proportional to 9,699.20, 14,547.04 and 2,772

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Solution

The fourth proportional to 9,699.20, 14,547.04 and 2,772 is: 4,157.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.20 : 14,547.04 = 2,772 : x
  2. Step 2: Convert to fraction form
    9,699.20/14,547.04 = 2,772/x
  3. Step 3: Cross multiply
    9,699.20x = 14,547.04 × 2,772
  4. Step 4: Simplify right side
    9,699.20x = 40,324,394.88
  5. Step 5: Solve for x
    x = 40,324,394.88/9,699.20
  6. Step 6: Final answer
    x = 4,157.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.