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Finding the Fourth Proportional to 10,273.02, 15,328.83 and 9,646.08

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Solution

The fourth proportional to 10,273.02, 15,328.83 and 9,646.08 is: 14,393.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,273.02 : 15,328.83 = 9,646.08 : x
  2. Step 2: Convert to fraction form
    10,273.02/15,328.83 = 9,646.08/x
  3. Step 3: Cross multiply
    10,273.02x = 15,328.83 × 9,646.08
  4. Step 4: Simplify right side
    10,273.02x = 147,863,120.49
  5. Step 5: Solve for x
    x = 147,863,120.49/10,273.02
  6. Step 6: Final answer
    x = 14,393.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.