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Finding the Fourth Proportional to 9,663.55, 14,496 and 3,090.25

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Solution

The fourth proportional to 9,663.55, 14,496 and 3,090.25 is: 4,635.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.55 : 14,496 = 3,090.25 : x
  2. Step 2: Convert to fraction form
    9,663.55/14,496 = 3,090.25/x
  3. Step 3: Cross multiply
    9,663.55x = 14,496 × 3,090.25
  4. Step 4: Simplify right side
    9,663.55x = 44,796,264
  5. Step 5: Solve for x
    x = 44,796,264/9,663.55
  6. Step 6: Final answer
    x = 4,635.59

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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.