Home / 10,034-13,829.64-9,432.08

Finding the Fourth Proportional to 10,034, 13,829.64 and 9,432.08

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Solution

The fourth proportional to 10,034, 13,829.64 and 9,432.08 is: 13,000.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034 : 13,829.64 = 9,432.08 : x
  2. Step 2: Convert to fraction form
    10,034/13,829.64 = 9,432.08/x
  3. Step 3: Cross multiply
    10,034x = 13,829.64 × 9,432.08
  4. Step 4: Simplify right side
    10,034x = 130,442,270.85
  5. Step 5: Solve for x
    x = 130,442,270.85/10,034
  6. Step 6: Final answer
    x = 13,000.03

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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.