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Finding the Fourth Proportional to 9,785.70, 14,678.56 and 4,591.58

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Solution

The fourth proportional to 9,785.70, 14,678.56 and 4,591.58 is: 6,887.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.70 : 14,678.56 = 4,591.58 : x
  2. Step 2: Convert to fraction form
    9,785.70/14,678.56 = 4,591.58/x
  3. Step 3: Cross multiply
    9,785.70x = 14,678.56 × 4,591.58
  4. Step 4: Simplify right side
    9,785.70x = 67,397,782.52
  5. Step 5: Solve for x
    x = 67,397,782.52/9,785.70
  6. Step 6: Final answer
    x = 6,887.37

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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.