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Finding the Fourth Proportional to 9,505.98, 14,265.10 and 5,126.50

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Solution

The fourth proportional to 9,505.98, 14,265.10 and 5,126.50 is: 7,693.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505.98 : 14,265.10 = 5,126.50 : x
  2. Step 2: Convert to fraction form
    9,505.98/14,265.10 = 5,126.50/x
  3. Step 3: Cross multiply
    9,505.98x = 14,265.10 × 5,126.50
  4. Step 4: Simplify right side
    9,505.98x = 73,130,035.15
  5. Step 5: Solve for x
    x = 73,130,035.15/9,505.98
  6. Step 6: Final answer
    x = 7,693.06

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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.