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Finding the Fourth Proportional to 7,009.86, 9,674.82 and 4,026.45

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Solution

The fourth proportional to 7,009.86, 9,674.82 and 4,026.45 is: 5,557.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.86 : 9,674.82 = 4,026.45 : x
  2. Step 2: Convert to fraction form
    7,009.86/9,674.82 = 4,026.45/x
  3. Step 3: Cross multiply
    7,009.86x = 9,674.82 × 4,026.45
  4. Step 4: Simplify right side
    7,009.86x = 38,955,178.99
  5. Step 5: Solve for x
    x = 38,955,178.99/7,009.86
  6. Step 6: Final answer
    x = 5,557.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.