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Finding the Fourth Proportional to 9,404.22, 14,106.32 and 2,478.72

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Solution

The fourth proportional to 9,404.22, 14,106.32 and 2,478.72 is: 3,718.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,404.22 : 14,106.32 = 2,478.72 : x
  2. Step 2: Convert to fraction form
    9,404.22/14,106.32 = 2,478.72/x
  3. Step 3: Cross multiply
    9,404.22x = 14,106.32 × 2,478.72
  4. Step 4: Simplify right side
    9,404.22x = 34,965,617.51
  5. Step 5: Solve for x
    x = 34,965,617.51/9,404.22
  6. Step 6: Final answer
    x = 3,718.08

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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.