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Finding the Fourth Proportional to 9,652.50, 13,322.34 and 5,460.75

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Solution

The fourth proportional to 9,652.50, 13,322.34 and 5,460.75 is: 7,536.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.50 : 13,322.34 = 5,460.75 : x
  2. Step 2: Convert to fraction form
    9,652.50/13,322.34 = 5,460.75/x
  3. Step 3: Cross multiply
    9,652.50x = 13,322.34 × 5,460.75
  4. Step 4: Simplify right side
    9,652.50x = 72,749,968.16
  5. Step 5: Solve for x
    x = 72,749,968.16/9,652.50
  6. Step 6: Final answer
    x = 7,536.90

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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.