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Finding the Fourth Proportional to 7,152.69, 9,871.32 and 4,009.49

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Solution

The fourth proportional to 7,152.69, 9,871.32 and 4,009.49 is: 5,533.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.69 : 9,871.32 = 4,009.49 : x
  2. Step 2: Convert to fraction form
    7,152.69/9,871.32 = 4,009.49/x
  3. Step 3: Cross multiply
    7,152.69x = 9,871.32 × 4,009.49
  4. Step 4: Simplify right side
    7,152.69x = 39,578,889.42
  5. Step 5: Solve for x
    x = 39,578,889.42/7,152.69
  6. Step 6: Final answer
    x = 5,533.43

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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.