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Finding the Fourth Proportional to 9,507.96, 14,262 and 6,223.81

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Solution

The fourth proportional to 9,507.96, 14,262 and 6,223.81 is: 9,335.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.96 : 14,262 = 6,223.81 : x
  2. Step 2: Convert to fraction form
    9,507.96/14,262 = 6,223.81/x
  3. Step 3: Cross multiply
    9,507.96x = 14,262 × 6,223.81
  4. Step 4: Simplify right side
    9,507.96x = 88,763,978.22
  5. Step 5: Solve for x
    x = 88,763,978.22/9,507.96
  6. Step 6: Final answer
    x = 9,335.75

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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.