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Finding the Fourth Proportional to 9,815.40, 14,690.24 and 9,684.16

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Solution

The fourth proportional to 9,815.40, 14,690.24 and 9,684.16 is: 14,493.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,815.40 : 14,690.24 = 9,684.16 : x
  2. Step 2: Convert to fraction form
    9,815.40/14,690.24 = 9,684.16/x
  3. Step 3: Cross multiply
    9,815.40x = 14,690.24 × 9,684.16
  4. Step 4: Simplify right side
    9,815.40x = 142,262,634.60
  5. Step 5: Solve for x
    x = 142,262,634.60/9,815.40
  6. Step 6: Final answer
    x = 14,493.82

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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.