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Finding the Fourth Proportional to 9,785.89, 13,510.15 and 6,805.76

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Solution

The fourth proportional to 9,785.89, 13,510.15 and 6,805.76 is: 9,395.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.89 : 13,510.15 = 6,805.76 : x
  2. Step 2: Convert to fraction form
    9,785.89/13,510.15 = 6,805.76/x
  3. Step 3: Cross multiply
    9,785.89x = 13,510.15 × 6,805.76
  4. Step 4: Simplify right side
    9,785.89x = 91,946,783.70
  5. Step 5: Solve for x
    x = 91,946,783.70/9,785.89
  6. Step 6: Final answer
    x = 9,395.86

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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.