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Finding the Fourth Proportional to 9,417.60, 14,126.40 and 3,867.30

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Solution

The fourth proportional to 9,417.60, 14,126.40 and 3,867.30 is: 5,800.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,417.60 : 14,126.40 = 3,867.30 : x
  2. Step 2: Convert to fraction form
    9,417.60/14,126.40 = 3,867.30/x
  3. Step 3: Cross multiply
    9,417.60x = 14,126.40 × 3,867.30
  4. Step 4: Simplify right side
    9,417.60x = 54,631,026.72
  5. Step 5: Solve for x
    x = 54,631,026.72/9,417.60
  6. Step 6: Final answer
    x = 5,800.95

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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.