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Finding the Fourth Proportional to 6,421.01, 9,578.97 and 6,242.40

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Solution

The fourth proportional to 6,421.01, 9,578.97 and 6,242.40 is: 9,312.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,421.01 : 9,578.97 = 6,242.40 : x
  2. Step 2: Convert to fraction form
    6,421.01/9,578.97 = 6,242.40/x
  3. Step 3: Cross multiply
    6,421.01x = 9,578.97 × 6,242.40
  4. Step 4: Simplify right side
    6,421.01x = 59,795,762.33
  5. Step 5: Solve for x
    x = 59,795,762.33/6,421.01
  6. Step 6: Final answer
    x = 9,312.52

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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.