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Finding the Fourth Proportional to 9,872.16, 14,804.16 and 3,296.64

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Solution

The fourth proportional to 9,872.16, 14,804.16 and 3,296.64 is: 4,943.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872.16 : 14,804.16 = 3,296.64 : x
  2. Step 2: Convert to fraction form
    9,872.16/14,804.16 = 3,296.64/x
  3. Step 3: Cross multiply
    9,872.16x = 14,804.16 × 3,296.64
  4. Step 4: Simplify right side
    9,872.16x = 48,803,986.02
  5. Step 5: Solve for x
    x = 48,803,986.02/9,872.16
  6. Step 6: Final answer
    x = 4,943.60

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Why These Related Problems?

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