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Finding the Fourth Proportional to 10,172.70, 14,038.20 and 6,193.80

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Solution

The fourth proportional to 10,172.70, 14,038.20 and 6,193.80 is: 8,547.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,172.70 : 14,038.20 = 6,193.80 : x
  2. Step 2: Convert to fraction form
    10,172.70/14,038.20 = 6,193.80/x
  3. Step 3: Cross multiply
    10,172.70x = 14,038.20 × 6,193.80
  4. Step 4: Simplify right side
    10,172.70x = 86,949,803.16
  5. Step 5: Solve for x
    x = 86,949,803.16/10,172.70
  6. Step 6: Final answer
    x = 8,547.37

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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.