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Finding the Fourth Proportional to 9,904.66, 14,864.46 and 3,670.54

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Solution

The fourth proportional to 9,904.66, 14,864.46 and 3,670.54 is: 5,508.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,904.66 : 14,864.46 = 3,670.54 : x
  2. Step 2: Convert to fraction form
    9,904.66/14,864.46 = 3,670.54/x
  3. Step 3: Cross multiply
    9,904.66x = 14,864.46 × 3,670.54
  4. Step 4: Simplify right side
    9,904.66x = 54,560,595.01
  5. Step 5: Solve for x
    x = 54,560,595.01/9,904.66
  6. Step 6: Final answer
    x = 5,508.58

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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.