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Finding the Fourth Proportional to 9,596.88, 14,395.32 and 5,490

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Solution

The fourth proportional to 9,596.88, 14,395.32 and 5,490 is: 8,235

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.88 : 14,395.32 = 5,490 : x
  2. Step 2: Convert to fraction form
    9,596.88/14,395.32 = 5,490/x
  3. Step 3: Cross multiply
    9,596.88x = 14,395.32 × 5,490
  4. Step 4: Simplify right side
    9,596.88x = 79,030,306.80
  5. Step 5: Solve for x
    x = 79,030,306.80/9,596.88
  6. Step 6: Final answer
    x = 8,235

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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.