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Finding the Fourth Proportional to 9,843.61, 14,655.61 and 9,705.73

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Solution

The fourth proportional to 9,843.61, 14,655.61 and 9,705.73 is: 14,450.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.61 : 14,655.61 = 9,705.73 : x
  2. Step 2: Convert to fraction form
    9,843.61/14,655.61 = 9,705.73/x
  3. Step 3: Cross multiply
    9,843.61x = 14,655.61 × 9,705.73
  4. Step 4: Simplify right side
    9,843.61x = 142,243,417.91
  5. Step 5: Solve for x
    x = 142,243,417.91/9,843.61
  6. Step 6: Final answer
    x = 14,450.33

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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.