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Finding the Fourth Proportional to 9,135.12, 12,594.24 and 7,137.84

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Solution

The fourth proportional to 9,135.12, 12,594.24 and 7,137.84 is: 9,840.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,135.12 : 12,594.24 = 7,137.84 : x
  2. Step 2: Convert to fraction form
    9,135.12/12,594.24 = 7,137.84/x
  3. Step 3: Cross multiply
    9,135.12x = 12,594.24 × 7,137.84
  4. Step 4: Simplify right side
    9,135.12x = 89,895,670.04
  5. Step 5: Solve for x
    x = 89,895,670.04/9,135.12
  6. Step 6: Final answer
    x = 9,840.67

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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.