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Finding the Fourth Proportional to 9,618.41, 14,419.06 and 3,779.09

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Solution

The fourth proportional to 9,618.41, 14,419.06 and 3,779.09 is: 5,665.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,618.41 : 14,419.06 = 3,779.09 : x
  2. Step 2: Convert to fraction form
    9,618.41/14,419.06 = 3,779.09/x
  3. Step 3: Cross multiply
    9,618.41x = 14,419.06 × 3,779.09
  4. Step 4: Simplify right side
    9,618.41x = 54,490,925.46
  5. Step 5: Solve for x
    x = 54,490,925.46/9,618.41
  6. Step 6: Final answer
    x = 5,665.27

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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.