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Finding the Fourth Proportional to 9,145.64, 12,621.02 and 4,953.89

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Solution

The fourth proportional to 9,145.64, 12,621.02 and 4,953.89 is: 6,836.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145.64 : 12,621.02 = 4,953.89 : x
  2. Step 2: Convert to fraction form
    9,145.64/12,621.02 = 4,953.89/x
  3. Step 3: Cross multiply
    9,145.64x = 12,621.02 × 4,953.89
  4. Step 4: Simplify right side
    9,145.64x = 62,523,056.89
  5. Step 5: Solve for x
    x = 62,523,056.89/9,145.64
  6. Step 6: Final answer
    x = 6,836.38

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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.