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Finding the Fourth Proportional to 9,893.74, 14,783.83 and 9,709.06

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Solution

The fourth proportional to 9,893.74, 14,783.83 and 9,709.06 is: 14,507.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.74 : 14,783.83 = 9,709.06 : x
  2. Step 2: Convert to fraction form
    9,893.74/14,783.83 = 9,709.06/x
  3. Step 3: Cross multiply
    9,893.74x = 14,783.83 × 9,709.06
  4. Step 4: Simplify right side
    9,893.74x = 143,537,092.50
  5. Step 5: Solve for x
    x = 143,537,092.50/9,893.74
  6. Step 6: Final answer
    x = 14,507.87

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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.