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Finding the Fourth Proportional to 9,532, 14,303.76 and 4,060

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Solution

The fourth proportional to 9,532, 14,303.76 and 4,060 is: 6,092.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532 : 14,303.76 = 4,060 : x
  2. Step 2: Convert to fraction form
    9,532/14,303.76 = 4,060/x
  3. Step 3: Cross multiply
    9,532x = 14,303.76 × 4,060
  4. Step 4: Simplify right side
    9,532x = 58,073,265.60
  5. Step 5: Solve for x
    x = 58,073,265.60/9,532
  6. Step 6: Final answer
    x = 6,092.45

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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.