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Finding the Fourth Proportional to 9,003.84, 13,486.56 and 5,106.24

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Solution

The fourth proportional to 9,003.84, 13,486.56 and 5,106.24 is: 7,648.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,003.84 : 13,486.56 = 5,106.24 : x
  2. Step 2: Convert to fraction form
    9,003.84/13,486.56 = 5,106.24/x
  3. Step 3: Cross multiply
    9,003.84x = 13,486.56 × 5,106.24
  4. Step 4: Simplify right side
    9,003.84x = 68,865,612.13
  5. Step 5: Solve for x
    x = 68,865,612.13/9,003.84
  6. Step 6: Final answer
    x = 7,648.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.