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Finding the Fourth Proportional to 9,675.52, 14,514.05 and 4,128.91

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Solution

The fourth proportional to 9,675.52, 14,514.05 and 4,128.91 is: 6,193.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.52 : 14,514.05 = 4,128.91 : x
  2. Step 2: Convert to fraction form
    9,675.52/14,514.05 = 4,128.91/x
  3. Step 3: Cross multiply
    9,675.52x = 14,514.05 × 4,128.91
  4. Step 4: Simplify right side
    9,675.52x = 59,927,149.26
  5. Step 5: Solve for x
    x = 59,927,149.26/9,675.52
  6. Step 6: Final answer
    x = 6,193.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.