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Finding the Fourth Proportional to 9,578.66, 14,369.33 and 3,655.13

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Solution

The fourth proportional to 9,578.66, 14,369.33 and 3,655.13 is: 5,483.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.66 : 14,369.33 = 3,655.13 : x
  2. Step 2: Convert to fraction form
    9,578.66/14,369.33 = 3,655.13/x
  3. Step 3: Cross multiply
    9,578.66x = 14,369.33 × 3,655.13
  4. Step 4: Simplify right side
    9,578.66x = 52,521,706.45
  5. Step 5: Solve for x
    x = 52,521,706.45/9,578.66
  6. Step 6: Final answer
    x = 5,483.20

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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.