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Finding the Fourth Proportional to 9,462.72, 14,194.23 and 7,703.36

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Solution

The fourth proportional to 9,462.72, 14,194.23 and 7,703.36 is: 11,555.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462.72 : 14,194.23 = 7,703.36 : x
  2. Step 2: Convert to fraction form
    9,462.72/14,194.23 = 7,703.36/x
  3. Step 3: Cross multiply
    9,462.72x = 14,194.23 × 7,703.36
  4. Step 4: Simplify right side
    9,462.72x = 109,343,263.61
  5. Step 5: Solve for x
    x = 109,343,263.61/9,462.72
  6. Step 6: Final answer
    x = 11,555.16

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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.