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Finding the Fourth Proportional to 9,785.16, 14,678.99 and 3,209.10

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Solution

The fourth proportional to 9,785.16, 14,678.99 and 3,209.10 is: 4,814.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.16 : 14,678.99 = 3,209.10 : x
  2. Step 2: Convert to fraction form
    9,785.16/14,678.99 = 3,209.10/x
  3. Step 3: Cross multiply
    9,785.16x = 14,678.99 × 3,209.10
  4. Step 4: Simplify right side
    9,785.16x = 47,106,330.76
  5. Step 5: Solve for x
    x = 47,106,330.76/9,785.16
  6. Step 6: Final answer
    x = 4,814.06

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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.