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Finding the Fourth Proportional to 34,416.60, 51,614.96 and 9,457.46

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Solution

The fourth proportional to 34,416.60, 51,614.96 and 9,457.46 is: 14,183.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,416.60 : 51,614.96 = 9,457.46 : x
  2. Step 2: Convert to fraction form
    34,416.60/51,614.96 = 9,457.46/x
  3. Step 3: Cross multiply
    34,416.60x = 51,614.96 × 9,457.46
  4. Step 4: Simplify right side
    34,416.60x = 488,146,307.80
  5. Step 5: Solve for x
    x = 488,146,307.80/34,416.60
  6. Step 6: Final answer
    x = 14,183.46

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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.