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Finding the Fourth Proportional to 9,841.07, 14,768.29 and 7,381.91

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Solution

The fourth proportional to 9,841.07, 14,768.29 and 7,381.91 is: 11,077.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841.07 : 14,768.29 = 7,381.91 : x
  2. Step 2: Convert to fraction form
    9,841.07/14,768.29 = 7,381.91/x
  3. Step 3: Cross multiply
    9,841.07x = 14,768.29 × 7,381.91
  4. Step 4: Simplify right side
    9,841.07x = 109,018,187.63
  5. Step 5: Solve for x
    x = 109,018,187.63/9,841.07
  6. Step 6: Final answer
    x = 11,077.88

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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.