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Finding the Fourth Proportional to 9,785.76, 14,678.61 and 4,858.84

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Solution

The fourth proportional to 9,785.76, 14,678.61 and 4,858.84 is: 7,288.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.76 : 14,678.61 = 4,858.84 : x
  2. Step 2: Convert to fraction form
    9,785.76/14,678.61 = 4,858.84/x
  3. Step 3: Cross multiply
    9,785.76x = 14,678.61 × 4,858.84
  4. Step 4: Simplify right side
    9,785.76x = 71,321,017.41
  5. Step 5: Solve for x
    x = 71,321,017.41/9,785.76
  6. Step 6: Final answer
    x = 7,288.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.