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Finding the Fourth Proportional to 9,119.32, 13,678.95 and 7,042.34

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Solution

The fourth proportional to 9,119.32, 13,678.95 and 7,042.34 is: 10,563.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,119.32 : 13,678.95 = 7,042.34 : x
  2. Step 2: Convert to fraction form
    9,119.32/13,678.95 = 7,042.34/x
  3. Step 3: Cross multiply
    9,119.32x = 13,678.95 × 7,042.34
  4. Step 4: Simplify right side
    9,119.32x = 96,331,877.35
  5. Step 5: Solve for x
    x = 96,331,877.35/9,119.32
  6. Step 6: Final answer
    x = 10,563.50

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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.