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Finding the Fourth Proportional to 9,811.33, 14,720.70 and 4,548.86

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Solution

The fourth proportional to 9,811.33, 14,720.70 and 4,548.86 is: 6,825.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.33 : 14,720.70 = 4,548.86 : x
  2. Step 2: Convert to fraction form
    9,811.33/14,720.70 = 4,548.86/x
  3. Step 3: Cross multiply
    9,811.33x = 14,720.70 × 4,548.86
  4. Step 4: Simplify right side
    9,811.33x = 66,962,402.06
  5. Step 5: Solve for x
    x = 66,962,402.06/9,811.33
  6. Step 6: Final answer
    x = 6,825.01

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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.