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Finding the Fourth Proportional to 9,853.31, 14,760.51 and 7,390.91

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Solution

The fourth proportional to 9,853.31, 14,760.51 and 7,390.91 is: 11,071.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.31 : 14,760.51 = 7,390.91 : x
  2. Step 2: Convert to fraction form
    9,853.31/14,760.51 = 7,390.91/x
  3. Step 3: Cross multiply
    9,853.31x = 14,760.51 × 7,390.91
  4. Step 4: Simplify right side
    9,853.31x = 109,093,527.16
  5. Step 5: Solve for x
    x = 109,093,527.16/9,853.31
  6. Step 6: Final answer
    x = 11,071.77

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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.