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Finding the Fourth Proportional to 9,916.99, 14,878.73 and 7,733.23

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Solution

The fourth proportional to 9,916.99, 14,878.73 and 7,733.23 is: 11,602.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.99 : 14,878.73 = 7,733.23 : x
  2. Step 2: Convert to fraction form
    9,916.99/14,878.73 = 7,733.23/x
  3. Step 3: Cross multiply
    9,916.99x = 14,878.73 × 7,733.23
  4. Step 4: Simplify right side
    9,916.99x = 115,060,602.53
  5. Step 5: Solve for x
    x = 115,060,602.53/9,916.99
  6. Step 6: Final answer
    x = 11,602.37

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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.