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Finding the Fourth Proportional to 6,416.40, 9,624.64 and 3,287.52

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Solution

The fourth proportional to 6,416.40, 9,624.64 and 3,287.52 is: 4,931.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.40 : 9,624.64 = 3,287.52 : x
  2. Step 2: Convert to fraction form
    6,416.40/9,624.64 = 3,287.52/x
  3. Step 3: Cross multiply
    6,416.40x = 9,624.64 × 3,287.52
  4. Step 4: Simplify right side
    6,416.40x = 31,641,196.49
  5. Step 5: Solve for x
    x = 31,641,196.49/6,416.40
  6. Step 6: Final answer
    x = 4,931.30

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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.