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Finding the Fourth Proportional to 10,335.42, 14,256.50 and 9,012.29

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Solution

The fourth proportional to 10,335.42, 14,256.50 and 9,012.29 is: 12,431.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,335.42 : 14,256.50 = 9,012.29 : x
  2. Step 2: Convert to fraction form
    10,335.42/14,256.50 = 9,012.29/x
  3. Step 3: Cross multiply
    10,335.42x = 14,256.50 × 9,012.29
  4. Step 4: Simplify right side
    10,335.42x = 128,483,596.04
  5. Step 5: Solve for x
    x = 128,483,596.04/10,335.42
  6. Step 6: Final answer
    x = 12,431.39

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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.