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Finding the Fourth Proportional to 10,273.28, 14,152.54 and 9,773

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Solution

The fourth proportional to 10,273.28, 14,152.54 and 9,773 is: 13,463.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,273.28 : 14,152.54 = 9,773 : x
  2. Step 2: Convert to fraction form
    10,273.28/14,152.54 = 9,773/x
  3. Step 3: Cross multiply
    10,273.28x = 14,152.54 × 9,773
  4. Step 4: Simplify right side
    10,273.28x = 138,312,773.42
  5. Step 5: Solve for x
    x = 138,312,773.42/10,273.28
  6. Step 6: Final answer
    x = 13,463.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.