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Finding the Fourth Proportional to 9,772.02, 14,654.34 and 3,530.34

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Solution

The fourth proportional to 9,772.02, 14,654.34 and 3,530.34 is: 5,294.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.02 : 14,654.34 = 3,530.34 : x
  2. Step 2: Convert to fraction form
    9,772.02/14,654.34 = 3,530.34/x
  3. Step 3: Cross multiply
    9,772.02x = 14,654.34 × 3,530.34
  4. Step 4: Simplify right side
    9,772.02x = 51,734,802.68
  5. Step 5: Solve for x
    x = 51,734,802.68/9,772.02
  6. Step 6: Final answer
    x = 5,294.18

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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.