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Finding the Fourth Proportional to 9,943.46, 14,915.46 and 6,021.44

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Solution

The fourth proportional to 9,943.46, 14,915.46 and 6,021.44 is: 9,032.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,943.46 : 14,915.46 = 6,021.44 : x
  2. Step 2: Convert to fraction form
    9,943.46/14,915.46 = 6,021.44/x
  3. Step 3: Cross multiply
    9,943.46x = 14,915.46 × 6,021.44
  4. Step 4: Simplify right side
    9,943.46x = 89,812,547.46
  5. Step 5: Solve for x
    x = 89,812,547.46/9,943.46
  6. Step 6: Final answer
    x = 9,032.32

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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.