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Finding the Fourth Proportional to 9,889.16, 14,833.32 and 2,869.16

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Solution

The fourth proportional to 9,889.16, 14,833.32 and 2,869.16 is: 4,303.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889.16 : 14,833.32 = 2,869.16 : x
  2. Step 2: Convert to fraction form
    9,889.16/14,833.32 = 2,869.16/x
  3. Step 3: Cross multiply
    9,889.16x = 14,833.32 × 2,869.16
  4. Step 4: Simplify right side
    9,889.16x = 42,559,168.41
  5. Step 5: Solve for x
    x = 42,559,168.41/9,889.16
  6. Step 6: Final answer
    x = 4,303.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.