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Finding the Fourth Proportional to 9,709.72, 14,498.77 and 7,712.94

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Solution

The fourth proportional to 9,709.72, 14,498.77 and 7,712.94 is: 11,517.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.72 : 14,498.77 = 7,712.94 : x
  2. Step 2: Convert to fraction form
    9,709.72/14,498.77 = 7,712.94/x
  3. Step 3: Cross multiply
    9,709.72x = 14,498.77 × 7,712.94
  4. Step 4: Simplify right side
    9,709.72x = 111,828,143.08
  5. Step 5: Solve for x
    x = 111,828,143.08/9,709.72
  6. Step 6: Final answer
    x = 11,517.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.