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Finding the Fourth Proportional to 7,021.62, 9,681.75 and 4,784.85

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Solution

The fourth proportional to 7,021.62, 9,681.75 and 4,784.85 is: 6,597.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,021.62 : 9,681.75 = 4,784.85 : x
  2. Step 2: Convert to fraction form
    7,021.62/9,681.75 = 4,784.85/x
  3. Step 3: Cross multiply
    7,021.62x = 9,681.75 × 4,784.85
  4. Step 4: Simplify right side
    7,021.62x = 46,325,721.49
  5. Step 5: Solve for x
    x = 46,325,721.49/7,021.62
  6. Step 6: Final answer
    x = 6,597.58

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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.