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Finding the Fourth Proportional to 9,640.02, 13,303.55 and 5,448.54

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Solution

The fourth proportional to 9,640.02, 13,303.55 and 5,448.54 is: 7,519.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.02 : 13,303.55 = 5,448.54 : x
  2. Step 2: Convert to fraction form
    9,640.02/13,303.55 = 5,448.54/x
  3. Step 3: Cross multiply
    9,640.02x = 13,303.55 × 5,448.54
  4. Step 4: Simplify right side
    9,640.02x = 72,484,924.32
  5. Step 5: Solve for x
    x = 72,484,924.32/9,640.02
  6. Step 6: Final answer
    x = 7,519.17

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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.