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Finding the Fourth Proportional to 9,714.51, 13,403.97 and 6,176.43

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Solution

The fourth proportional to 9,714.51, 13,403.97 and 6,176.43 is: 8,522.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.51 : 13,403.97 = 6,176.43 : x
  2. Step 2: Convert to fraction form
    9,714.51/13,403.97 = 6,176.43/x
  3. Step 3: Cross multiply
    9,714.51x = 13,403.97 × 6,176.43
  4. Step 4: Simplify right side
    9,714.51x = 82,788,682.43
  5. Step 5: Solve for x
    x = 82,788,682.43/9,714.51
  6. Step 6: Final answer
    x = 8,522.17

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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.