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Finding the Fourth Proportional to 9,299.16, 13,953.24 and 4,619.64

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Solution

The fourth proportional to 9,299.16, 13,953.24 and 4,619.64 is: 6,931.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299.16 : 13,953.24 = 4,619.64 : x
  2. Step 2: Convert to fraction form
    9,299.16/13,953.24 = 4,619.64/x
  3. Step 3: Cross multiply
    9,299.16x = 13,953.24 × 4,619.64
  4. Step 4: Simplify right side
    9,299.16x = 64,458,945.63
  5. Step 5: Solve for x
    x = 64,458,945.63/9,299.16
  6. Step 6: Final answer
    x = 6,931.70

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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.