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Finding the Fourth Proportional to 9,815.60, 14,726.46 and 3,246.40

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Solution

The fourth proportional to 9,815.60, 14,726.46 and 3,246.40 is: 4,870.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,815.60 : 14,726.46 = 3,246.40 : x
  2. Step 2: Convert to fraction form
    9,815.60/14,726.46 = 3,246.40/x
  3. Step 3: Cross multiply
    9,815.60x = 14,726.46 × 3,246.40
  4. Step 4: Simplify right side
    9,815.60x = 47,807,979.74
  5. Step 5: Solve for x
    x = 47,807,979.74/9,815.60
  6. Step 6: Final answer
    x = 4,870.61

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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.