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Finding the Fourth Proportional to 10,203.03, 15,310.01 and 9,459.45

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Solution

The fourth proportional to 10,203.03, 15,310.01 and 9,459.45 is: 14,194.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.03 : 15,310.01 = 9,459.45 : x
  2. Step 2: Convert to fraction form
    10,203.03/15,310.01 = 9,459.45/x
  3. Step 3: Cross multiply
    10,203.03x = 15,310.01 × 9,459.45
  4. Step 4: Simplify right side
    10,203.03x = 144,824,297.74
  5. Step 5: Solve for x
    x = 144,824,297.74/10,203.03
  6. Step 6: Final answer
    x = 14,194.24

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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.