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Finding the Fourth Proportional to 9,823.56, 14,737.74 and 2,898.12

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Solution

The fourth proportional to 9,823.56, 14,737.74 and 2,898.12 is: 4,347.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823.56 : 14,737.74 = 2,898.12 : x
  2. Step 2: Convert to fraction form
    9,823.56/14,737.74 = 2,898.12/x
  3. Step 3: Cross multiply
    9,823.56x = 14,737.74 × 2,898.12
  4. Step 4: Simplify right side
    9,823.56x = 42,711,739.05
  5. Step 5: Solve for x
    x = 42,711,739.05/9,823.56
  6. Step 6: Final answer
    x = 4,347.89

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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.