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Finding the Fourth Proportional to 9,404.40, 14,095.80 and 3,854.10

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Solution

The fourth proportional to 9,404.40, 14,095.80 and 3,854.10 is: 5,776.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,404.40 : 14,095.80 = 3,854.10 : x
  2. Step 2: Convert to fraction form
    9,404.40/14,095.80 = 3,854.10/x
  3. Step 3: Cross multiply
    9,404.40x = 14,095.80 × 3,854.10
  4. Step 4: Simplify right side
    9,404.40x = 54,326,622.78
  5. Step 5: Solve for x
    x = 54,326,622.78/9,404.40
  6. Step 6: Final answer
    x = 5,776.72

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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.