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Finding the Fourth Proportional to 9,911, 13,674.33 and 6,552.59

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Solution

The fourth proportional to 9,911, 13,674.33 and 6,552.59 is: 9,040.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,911 : 13,674.33 = 6,552.59 : x
  2. Step 2: Convert to fraction form
    9,911/13,674.33 = 6,552.59/x
  3. Step 3: Cross multiply
    9,911x = 13,674.33 × 6,552.59
  4. Step 4: Simplify right side
    9,911x = 89,602,278.01
  5. Step 5: Solve for x
    x = 89,602,278.01/9,911
  6. Step 6: Final answer
    x = 9,040.69

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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.