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Finding the Fourth Proportional to 9,802.12, 14,703.33 and 5,410.03

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Solution

The fourth proportional to 9,802.12, 14,703.33 and 5,410.03 is: 8,115.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.12 : 14,703.33 = 5,410.03 : x
  2. Step 2: Convert to fraction form
    9,802.12/14,703.33 = 5,410.03/x
  3. Step 3: Cross multiply
    9,802.12x = 14,703.33 × 5,410.03
  4. Step 4: Simplify right side
    9,802.12x = 79,545,456.40
  5. Step 5: Solve for x
    x = 79,545,456.40/9,802.12
  6. Step 6: Final answer
    x = 8,115.13

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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.