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Finding the Fourth Proportional to 9,014.76, 13,467.48 and 7,538.64

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Solution

The fourth proportional to 9,014.76, 13,467.48 and 7,538.64 is: 11,262.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,014.76 : 13,467.48 = 7,538.64 : x
  2. Step 2: Convert to fraction form
    9,014.76/13,467.48 = 7,538.64/x
  3. Step 3: Cross multiply
    9,014.76x = 13,467.48 × 7,538.64
  4. Step 4: Simplify right side
    9,014.76x = 101,526,483.43
  5. Step 5: Solve for x
    x = 101,526,483.43/9,014.76
  6. Step 6: Final answer
    x = 11,262.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.