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Finding the Fourth Proportional to 7,033.19, 9,696.78 and 4,510.71

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Solution

The fourth proportional to 7,033.19, 9,696.78 and 4,510.71 is: 6,219.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,033.19 : 9,696.78 = 4,510.71 : x
  2. Step 2: Convert to fraction form
    7,033.19/9,696.78 = 4,510.71/x
  3. Step 3: Cross multiply
    7,033.19x = 9,696.78 × 4,510.71
  4. Step 4: Simplify right side
    7,033.19x = 43,739,362.51
  5. Step 5: Solve for x
    x = 43,739,362.51/7,033.19
  6. Step 6: Final answer
    x = 6,219.00

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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.