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Finding the Fourth Proportional to 9,783.75, 13,501.58 and 5,592.09

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Solution

The fourth proportional to 9,783.75, 13,501.58 and 5,592.09 is: 7,717.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.75 : 13,501.58 = 5,592.09 : x
  2. Step 2: Convert to fraction form
    9,783.75/13,501.58 = 5,592.09/x
  3. Step 3: Cross multiply
    9,783.75x = 13,501.58 × 5,592.09
  4. Step 4: Simplify right side
    9,783.75x = 75,502,022.54
  5. Step 5: Solve for x
    x = 75,502,022.54/9,783.75
  6. Step 6: Final answer
    x = 7,717.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.