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Finding the Fourth Proportional to 9,640.65, 13,303.54 and 5,333.49

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Solution

The fourth proportional to 9,640.65, 13,303.54 and 5,333.49 is: 7,359.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.65 : 13,303.54 = 5,333.49 : x
  2. Step 2: Convert to fraction form
    9,640.65/13,303.54 = 5,333.49/x
  3. Step 3: Cross multiply
    9,640.65x = 13,303.54 × 5,333.49
  4. Step 4: Simplify right side
    9,640.65x = 70,954,266.81
  5. Step 5: Solve for x
    x = 70,954,266.81/9,640.65
  6. Step 6: Final answer
    x = 7,359.91

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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.