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Finding the Fourth Proportional to 7,152.16, 9,870.22 and 3,965.40

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Solution

The fourth proportional to 7,152.16, 9,870.22 and 3,965.40 is: 5,472.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.16 : 9,870.22 = 3,965.40 : x
  2. Step 2: Convert to fraction form
    7,152.16/9,870.22 = 3,965.40/x
  3. Step 3: Cross multiply
    7,152.16x = 9,870.22 × 3,965.40
  4. Step 4: Simplify right side
    7,152.16x = 39,139,370.39
  5. Step 5: Solve for x
    x = 39,139,370.39/7,152.16
  6. Step 6: Final answer
    x = 5,472.38

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Why These Related Problems?

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