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Finding the Fourth Proportional to 9,785.88, 14,678.80 and 4,858.97

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Solution

The fourth proportional to 9,785.88, 14,678.80 and 4,858.97 is: 7,288.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.88 : 14,678.80 = 4,858.97 : x
  2. Step 2: Convert to fraction form
    9,785.88/14,678.80 = 4,858.97/x
  3. Step 3: Cross multiply
    9,785.88x = 14,678.80 × 4,858.97
  4. Step 4: Simplify right side
    9,785.88x = 71,323,873.19
  5. Step 5: Solve for x
    x = 71,323,873.19/9,785.88
  6. Step 6: Final answer
    x = 7,288.45

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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.