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Finding the Fourth Proportional to 9,342.52, 12,891.14 and 5,810.60

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Solution

The fourth proportional to 9,342.52, 12,891.14 and 5,810.60 is: 8,017.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.52 : 12,891.14 = 5,810.60 : x
  2. Step 2: Convert to fraction form
    9,342.52/12,891.14 = 5,810.60/x
  3. Step 3: Cross multiply
    9,342.52x = 12,891.14 × 5,810.60
  4. Step 4: Simplify right side
    9,342.52x = 74,905,258.08
  5. Step 5: Solve for x
    x = 74,905,258.08/9,342.52
  6. Step 6: Final answer
    x = 8,017.67

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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.