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Finding the Fourth Proportional to 9,453.46, 13,040.04 and 5,913.76

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Solution

The fourth proportional to 9,453.46, 13,040.04 and 5,913.76 is: 8,157.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,453.46 : 13,040.04 = 5,913.76 : x
  2. Step 2: Convert to fraction form
    9,453.46/13,040.04 = 5,913.76/x
  3. Step 3: Cross multiply
    9,453.46x = 13,040.04 × 5,913.76
  4. Step 4: Simplify right side
    9,453.46x = 77,115,666.95
  5. Step 5: Solve for x
    x = 77,115,666.95/9,453.46
  6. Step 6: Final answer
    x = 8,157.40

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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.