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Finding the Fourth Proportional to 9,064.64, 13,597.60 and 3,219.68

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Solution

The fourth proportional to 9,064.64, 13,597.60 and 3,219.68 is: 4,829.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,064.64 : 13,597.60 = 3,219.68 : x
  2. Step 2: Convert to fraction form
    9,064.64/13,597.60 = 3,219.68/x
  3. Step 3: Cross multiply
    9,064.64x = 13,597.60 × 3,219.68
  4. Step 4: Simplify right side
    9,064.64x = 43,779,920.77
  5. Step 5: Solve for x
    x = 43,779,920.77/9,064.64
  6. Step 6: Final answer
    x = 4,829.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.