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Finding the Fourth Proportional to 6,307.67, 9,417.77 and 5,429.23

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Solution

The fourth proportional to 6,307.67, 9,417.77 and 5,429.23 is: 8,106.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.67 : 9,417.77 = 5,429.23 : x
  2. Step 2: Convert to fraction form
    6,307.67/9,417.77 = 5,429.23/x
  3. Step 3: Cross multiply
    6,307.67x = 9,417.77 × 5,429.23
  4. Step 4: Simplify right side
    6,307.67x = 51,131,209.09
  5. Step 5: Solve for x
    x = 51,131,209.09/6,307.67
  6. Step 6: Final answer
    x = 8,106.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.