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Finding the Fourth Proportional to 9,783.72, 13,502.70 and 5,592.78

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Solution

The fourth proportional to 9,783.72, 13,502.70 and 5,592.78 is: 7,718.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.72 : 13,502.70 = 5,592.78 : x
  2. Step 2: Convert to fraction form
    9,783.72/13,502.70 = 5,592.78/x
  3. Step 3: Cross multiply
    9,783.72x = 13,502.70 × 5,592.78
  4. Step 4: Simplify right side
    9,783.72x = 75,517,630.51
  5. Step 5: Solve for x
    x = 75,517,630.51/9,783.72
  6. Step 6: Final answer
    x = 7,718.70

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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.