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Finding the Fourth Proportional to 9,346.68, 14,019.96 and 6,416.04

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Solution

The fourth proportional to 9,346.68, 14,019.96 and 6,416.04 is: 9,624.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,346.68 : 14,019.96 = 6,416.04 : x
  2. Step 2: Convert to fraction form
    9,346.68/14,019.96 = 6,416.04/x
  3. Step 3: Cross multiply
    9,346.68x = 14,019.96 × 6,416.04
  4. Step 4: Simplify right side
    9,346.68x = 89,952,624.16
  5. Step 5: Solve for x
    x = 89,952,624.16/9,346.68
  6. Step 6: Final answer
    x = 9,624.02

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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.