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Finding the Fourth Proportional to 9,426.98, 12,996.86 and 7,835.00

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Solution

The fourth proportional to 9,426.98, 12,996.86 and 7,835.00 is: 10,802.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,426.98 : 12,996.86 = 7,835.00 : x
  2. Step 2: Convert to fraction form
    9,426.98/12,996.86 = 7,835.00/x
  3. Step 3: Cross multiply
    9,426.98x = 12,996.86 × 7,835.00
  4. Step 4: Simplify right side
    9,426.98x = 101,830,293.94
  5. Step 5: Solve for x
    x = 101,830,293.94/9,426.98
  6. Step 6: Final answer
    x = 10,802.00

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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.