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Finding the Fourth Proportional to 9,823.46, 14,737.47 and 2,803.57

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Solution

The fourth proportional to 9,823.46, 14,737.47 and 2,803.57 is: 4,206.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823.46 : 14,737.47 = 2,803.57 : x
  2. Step 2: Convert to fraction form
    9,823.46/14,737.47 = 2,803.57/x
  3. Step 3: Cross multiply
    9,823.46x = 14,737.47 × 2,803.57
  4. Step 4: Simplify right side
    9,823.46x = 41,317,481.41
  5. Step 5: Solve for x
    x = 41,317,481.41/9,823.46
  6. Step 6: Final answer
    x = 4,206.00

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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.