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Finding the Fourth Proportional to 9,247.58, 12,765.78 and 7,122.34

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Solution

The fourth proportional to 9,247.58, 12,765.78 and 7,122.34 is: 9,832.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,247.58 : 12,765.78 = 7,122.34 : x
  2. Step 2: Convert to fraction form
    9,247.58/12,765.78 = 7,122.34/x
  3. Step 3: Cross multiply
    9,247.58x = 12,765.78 × 7,122.34
  4. Step 4: Simplify right side
    9,247.58x = 90,922,225.53
  5. Step 5: Solve for x
    x = 90,922,225.53/9,247.58
  6. Step 6: Final answer
    x = 9,832.00

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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.