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Finding the Fourth Proportional to 9,072, 12,518.64 and 5,091.84

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Solution

The fourth proportional to 9,072, 12,518.64 and 5,091.84 is: 7,026.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,072 : 12,518.64 = 5,091.84 : x
  2. Step 2: Convert to fraction form
    9,072/12,518.64 = 5,091.84/x
  3. Step 3: Cross multiply
    9,072x = 12,518.64 × 5,091.84
  4. Step 4: Simplify right side
    9,072x = 63,742,911.90
  5. Step 5: Solve for x
    x = 63,742,911.90/9,072
  6. Step 6: Final answer
    x = 7,026.34

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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.