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Finding the Fourth Proportional to 7,146.35, 9,861.62 and 3,916.00

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Solution

The fourth proportional to 7,146.35, 9,861.62 and 3,916.00 is: 5,403.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.35 : 9,861.62 = 3,916.00 : x
  2. Step 2: Convert to fraction form
    7,146.35/9,861.62 = 3,916.00/x
  3. Step 3: Cross multiply
    7,146.35x = 9,861.62 × 3,916.00
  4. Step 4: Simplify right side
    7,146.35x = 38,618,089.06
  5. Step 5: Solve for x
    x = 38,618,089.06/7,146.35
  6. Step 6: Final answer
    x = 5,403.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.