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Finding the Fourth Proportional to 9,472.84, 14,205.84 and 2,807.35

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Solution

The fourth proportional to 9,472.84, 14,205.84 and 2,807.35 is: 4,210.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.84 : 14,205.84 = 2,807.35 : x
  2. Step 2: Convert to fraction form
    9,472.84/14,205.84 = 2,807.35/x
  3. Step 3: Cross multiply
    9,472.84x = 14,205.84 × 2,807.35
  4. Step 4: Simplify right side
    9,472.84x = 39,880,764.92
  5. Step 5: Solve for x
    x = 39,880,764.92/9,472.84
  6. Step 6: Final answer
    x = 4,210.01

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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.