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Finding the Fourth Proportional to 9,714.77, 13,408.51 and 6,177.29

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Solution

The fourth proportional to 9,714.77, 13,408.51 and 6,177.29 is: 8,526.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.77 : 13,408.51 = 6,177.29 : x
  2. Step 2: Convert to fraction form
    9,714.77/13,408.51 = 6,177.29/x
  3. Step 3: Cross multiply
    9,714.77x = 13,408.51 × 6,177.29
  4. Step 4: Simplify right side
    9,714.77x = 82,828,254.74
  5. Step 5: Solve for x
    x = 82,828,254.74/9,714.77
  6. Step 6: Final answer
    x = 8,526.01

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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.