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Finding the Fourth Proportional to 9,574.08, 14,365.49 and 4,306.21

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Solution

The fourth proportional to 9,574.08, 14,365.49 and 4,306.21 is: 6,461.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.08 : 14,365.49 = 4,306.21 : x
  2. Step 2: Convert to fraction form
    9,574.08/14,365.49 = 4,306.21/x
  3. Step 3: Cross multiply
    9,574.08x = 14,365.49 × 4,306.21
  4. Step 4: Simplify right side
    9,574.08x = 61,860,840.05
  5. Step 5: Solve for x
    x = 61,860,840.05/9,574.08
  6. Step 6: Final answer
    x = 6,461.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.