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Finding the Fourth Proportional to 9,889.84, 14,835.54 and 2,869.98

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Solution

The fourth proportional to 9,889.84, 14,835.54 and 2,869.98 is: 4,305.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889.84 : 14,835.54 = 2,869.98 : x
  2. Step 2: Convert to fraction form
    9,889.84/14,835.54 = 2,869.98/x
  3. Step 3: Cross multiply
    9,889.84x = 14,835.54 × 2,869.98
  4. Step 4: Simplify right side
    9,889.84x = 42,577,703.09
  5. Step 5: Solve for x
    x = 42,577,703.09/9,889.84
  6. Step 6: Final answer
    x = 4,305.20

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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.