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Finding the Fourth Proportional to 9,223.65, 12,728.26 and 5,448.03

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Solution

The fourth proportional to 9,223.65, 12,728.26 and 5,448.03 is: 7,518.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.65 : 12,728.26 = 5,448.03 : x
  2. Step 2: Convert to fraction form
    9,223.65/12,728.26 = 5,448.03/x
  3. Step 3: Cross multiply
    9,223.65x = 12,728.26 × 5,448.03
  4. Step 4: Simplify right side
    9,223.65x = 69,343,870.76
  5. Step 5: Solve for x
    x = 69,343,870.76/9,223.65
  6. Step 6: Final answer
    x = 7,518.05

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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.