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Finding the Fourth Proportional to 9,154.02, 12,634.94 and 5,798.46

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Solution

The fourth proportional to 9,154.02, 12,634.94 and 5,798.46 is: 8,003.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.02 : 12,634.94 = 5,798.46 : x
  2. Step 2: Convert to fraction form
    9,154.02/12,634.94 = 5,798.46/x
  3. Step 3: Cross multiply
    9,154.02x = 12,634.94 × 5,798.46
  4. Step 4: Simplify right side
    9,154.02x = 73,263,194.19
  5. Step 5: Solve for x
    x = 73,263,194.19/9,154.02
  6. Step 6: Final answer
    x = 8,003.39

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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.