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Finding the Fourth Proportional to 8,925.50, 12,317.46 and 4,946.24

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Solution

The fourth proportional to 8,925.50, 12,317.46 and 4,946.24 is: 6,825.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,925.50 : 12,317.46 = 4,946.24 : x
  2. Step 2: Convert to fraction form
    8,925.50/12,317.46 = 4,946.24/x
  3. Step 3: Cross multiply
    8,925.50x = 12,317.46 × 4,946.24
  4. Step 4: Simplify right side
    8,925.50x = 60,925,113.35
  5. Step 5: Solve for x
    x = 60,925,113.35/8,925.50
  6. Step 6: Final answer
    x = 6,825.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.