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Finding the Fourth Proportional to 9,640.06, 13,303.11 and 5,448.22

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Solution

The fourth proportional to 9,640.06, 13,303.11 and 5,448.22 is: 7,518.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.06 : 13,303.11 = 5,448.22 : x
  2. Step 2: Convert to fraction form
    9,640.06/13,303.11 = 5,448.22/x
  3. Step 3: Cross multiply
    9,640.06x = 13,303.11 × 5,448.22
  4. Step 4: Simplify right side
    9,640.06x = 72,478,269.96
  5. Step 5: Solve for x
    x = 72,478,269.96/9,640.06
  6. Step 6: Final answer
    x = 7,518.45

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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.