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Finding the Fourth Proportional to 9,811.07, 13,530.06 and 7,569.39

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Solution

The fourth proportional to 9,811.07, 13,530.06 and 7,569.39 is: 10,438.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.07 : 13,530.06 = 7,569.39 : x
  2. Step 2: Convert to fraction form
    9,811.07/13,530.06 = 7,569.39/x
  3. Step 3: Cross multiply
    9,811.07x = 13,530.06 × 7,569.39
  4. Step 4: Simplify right side
    9,811.07x = 102,414,300.86
  5. Step 5: Solve for x
    x = 102,414,300.86/9,811.07
  6. Step 6: Final answer
    x = 10,438.65

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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.