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Finding the Fourth Proportional to 10,095.09, 13,924.73 and 6,514.62

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Solution

The fourth proportional to 10,095.09, 13,924.73 and 6,514.62 is: 8,985.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,095.09 : 13,924.73 = 6,514.62 : x
  2. Step 2: Convert to fraction form
    10,095.09/13,924.73 = 6,514.62/x
  3. Step 3: Cross multiply
    10,095.09x = 13,924.73 × 6,514.62
  4. Step 4: Simplify right side
    10,095.09x = 90,714,291.98
  5. Step 5: Solve for x
    x = 90,714,291.98/10,095.09
  6. Step 6: Final answer
    x = 8,985.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.