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Finding the Fourth Proportional to 9,064.32, 13,597.24 and 3,870.24

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Solution

The fourth proportional to 9,064.32, 13,597.24 and 3,870.24 is: 5,805.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,064.32 : 13,597.24 = 3,870.24 : x
  2. Step 2: Convert to fraction form
    9,064.32/13,597.24 = 3,870.24/x
  3. Step 3: Cross multiply
    9,064.32x = 13,597.24 × 3,870.24
  4. Step 4: Simplify right side
    9,064.32x = 52,624,582.14
  5. Step 5: Solve for x
    x = 52,624,582.14/9,064.32
  6. Step 6: Final answer
    x = 5,805.68

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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.