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Finding the Fourth Proportional to 9,164.76, 12,635.73 and 7,484.46

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Solution

The fourth proportional to 9,164.76, 12,635.73 and 7,484.46 is: 10,319.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.76 : 12,635.73 = 7,484.46 : x
  2. Step 2: Convert to fraction form
    9,164.76/12,635.73 = 7,484.46/x
  3. Step 3: Cross multiply
    9,164.76x = 12,635.73 × 7,484.46
  4. Step 4: Simplify right side
    9,164.76x = 94,571,615.76
  5. Step 5: Solve for x
    x = 94,571,615.76/9,164.76
  6. Step 6: Final answer
    x = 10,319.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.