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Finding the Fourth Proportional to 9,864.02, 14,784.32 and 5,695.42

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Solution

The fourth proportional to 9,864.02, 14,784.32 and 5,695.42 is: 8,536.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,864.02 : 14,784.32 = 5,695.42 : x
  2. Step 2: Convert to fraction form
    9,864.02/14,784.32 = 5,695.42/x
  3. Step 3: Cross multiply
    9,864.02x = 14,784.32 × 5,695.42
  4. Step 4: Simplify right side
    9,864.02x = 84,202,911.81
  5. Step 5: Solve for x
    x = 84,202,911.81/9,864.02
  6. Step 6: Final answer
    x = 8,536.37

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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.