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Finding the Fourth Proportional to 10,490.85, 14,476.73 and 9,654.93

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Solution

The fourth proportional to 10,490.85, 14,476.73 and 9,654.93 is: 13,323.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.85 : 14,476.73 = 9,654.93 : x
  2. Step 2: Convert to fraction form
    10,490.85/14,476.73 = 9,654.93/x
  3. Step 3: Cross multiply
    10,490.85x = 14,476.73 × 9,654.93
  4. Step 4: Simplify right side
    10,490.85x = 139,771,766.50
  5. Step 5: Solve for x
    x = 139,771,766.50/10,490.85
  6. Step 6: Final answer
    x = 13,323.21

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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.