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Finding the Fourth Proportional to 7,106.00, 9,813.96 and 5,531.63

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Solution

The fourth proportional to 7,106.00, 9,813.96 and 5,531.63 is: 7,639.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.00 : 9,813.96 = 5,531.63 : x
  2. Step 2: Convert to fraction form
    7,106.00/9,813.96 = 5,531.63/x
  3. Step 3: Cross multiply
    7,106.00x = 9,813.96 × 5,531.63
  4. Step 4: Simplify right side
    7,106.00x = 54,287,146.49
  5. Step 5: Solve for x
    x = 54,287,146.49/7,106.00
  6. Step 6: Final answer
    x = 7,639.63

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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.