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Finding the Fourth Proportional to 10,172.30, 14,039.06 and 6,193.17

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Solution

The fourth proportional to 10,172.30, 14,039.06 and 6,193.17 is: 8,547.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,172.30 : 14,039.06 = 6,193.17 : x
  2. Step 2: Convert to fraction form
    10,172.30/14,039.06 = 6,193.17/x
  3. Step 3: Cross multiply
    10,172.30x = 14,039.06 × 6,193.17
  4. Step 4: Simplify right side
    10,172.30x = 86,946,254.25
  5. Step 5: Solve for x
    x = 86,946,254.25/10,172.30
  6. Step 6: Final answer
    x = 8,547.36

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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.