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Finding the Fourth Proportional to 9,303.48, 13,955.22 and 3,147

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Solution

The fourth proportional to 9,303.48, 13,955.22 and 3,147 is: 4,720.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,303.48 : 13,955.22 = 3,147 : x
  2. Step 2: Convert to fraction form
    9,303.48/13,955.22 = 3,147/x
  3. Step 3: Cross multiply
    9,303.48x = 13,955.22 × 3,147
  4. Step 4: Simplify right side
    9,303.48x = 43,917,077.34
  5. Step 5: Solve for x
    x = 43,917,077.34/9,303.48
  6. Step 6: Final answer
    x = 4,720.50

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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.