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Finding the Fourth Proportional to 9,643.45, 14,470.64 and 3,804.16

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Solution

The fourth proportional to 9,643.45, 14,470.64 and 3,804.16 is: 5,708.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.45 : 14,470.64 = 3,804.16 : x
  2. Step 2: Convert to fraction form
    9,643.45/14,470.64 = 3,804.16/x
  3. Step 3: Cross multiply
    9,643.45x = 14,470.64 × 3,804.16
  4. Step 4: Simplify right side
    9,643.45x = 55,048,574.67
  5. Step 5: Solve for x
    x = 55,048,574.67/9,643.45
  6. Step 6: Final answer
    x = 5,708.39

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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.