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Finding the Fourth Proportional to 9,536, 14,309.76 and 4,064

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Solution

The fourth proportional to 9,536, 14,309.76 and 4,064 is: 6,098.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,536 : 14,309.76 = 4,064 : x
  2. Step 2: Convert to fraction form
    9,536/14,309.76 = 4,064/x
  3. Step 3: Cross multiply
    9,536x = 14,309.76 × 4,064
  4. Step 4: Simplify right side
    9,536x = 58,154,864.64
  5. Step 5: Solve for x
    x = 58,154,864.64/9,536
  6. Step 6: Final answer
    x = 6,098.45

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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.