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Finding the Fourth Proportional to 9,501.44, 14,256 and 4,302.08

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Solution

The fourth proportional to 9,501.44, 14,256 and 4,302.08 is: 6,454.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,501.44 : 14,256 = 4,302.08 : x
  2. Step 2: Convert to fraction form
    9,501.44/14,256 = 4,302.08/x
  3. Step 3: Cross multiply
    9,501.44x = 14,256 × 4,302.08
  4. Step 4: Simplify right side
    9,501.44x = 61,330,452.48
  5. Step 5: Solve for x
    x = 61,330,452.48/9,501.44
  6. Step 6: Final answer
    x = 6,454.86

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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.