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Finding the Fourth Proportional to 9,980.19, 14,916.14 and 9,192.06

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Solution

The fourth proportional to 9,980.19, 14,916.14 and 9,192.06 is: 13,738.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.19 : 14,916.14 = 9,192.06 : x
  2. Step 2: Convert to fraction form
    9,980.19/14,916.14 = 9,192.06/x
  3. Step 3: Cross multiply
    9,980.19x = 14,916.14 × 9,192.06
  4. Step 4: Simplify right side
    9,980.19x = 137,110,042.36
  5. Step 5: Solve for x
    x = 137,110,042.36/9,980.19
  6. Step 6: Final answer
    x = 13,738.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.