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Finding the Fourth Proportional to 9,916.99, 14,871.04 and 7,132

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Solution

The fourth proportional to 9,916.99, 14,871.04 and 7,132 is: 10,694.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.99 : 14,871.04 = 7,132 : x
  2. Step 2: Convert to fraction form
    9,916.99/14,871.04 = 7,132/x
  3. Step 3: Cross multiply
    9,916.99x = 14,871.04 × 7,132
  4. Step 4: Simplify right side
    9,916.99x = 106,060,257.28
  5. Step 5: Solve for x
    x = 106,060,257.28/9,916.99
  6. Step 6: Final answer
    x = 10,694.80

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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.