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Finding the Fourth Proportional to 9,792.18, 14,689.44 and 4,596.84

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Solution

The fourth proportional to 9,792.18, 14,689.44 and 4,596.84 is: 6,895.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.18 : 14,689.44 = 4,596.84 : x
  2. Step 2: Convert to fraction form
    9,792.18/14,689.44 = 4,596.84/x
  3. Step 3: Cross multiply
    9,792.18x = 14,689.44 × 4,596.84
  4. Step 4: Simplify right side
    9,792.18x = 67,525,005.37
  5. Step 5: Solve for x
    x = 67,525,005.37/9,792.18
  6. Step 6: Final answer
    x = 6,895.81

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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.