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Finding the Fourth Proportional to 9,685.72, 14,484.78 and 7,464.16

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Solution

The fourth proportional to 9,685.72, 14,484.78 and 7,464.16 is: 11,162.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.72 : 14,484.78 = 7,464.16 : x
  2. Step 2: Convert to fraction form
    9,685.72/14,484.78 = 7,464.16/x
  3. Step 3: Cross multiply
    9,685.72x = 14,484.78 × 7,464.16
  4. Step 4: Simplify right side
    9,685.72x = 108,116,715.48
  5. Step 5: Solve for x
    x = 108,116,715.48/9,685.72
  6. Step 6: Final answer
    x = 11,162.49

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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.