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Finding the Fourth Proportional to 10,599.63, 14,619.14 and 9,389.60

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Solution

The fourth proportional to 10,599.63, 14,619.14 and 9,389.60 is: 12,950.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,599.63 : 14,619.14 = 9,389.60 : x
  2. Step 2: Convert to fraction form
    10,599.63/14,619.14 = 9,389.60/x
  3. Step 3: Cross multiply
    10,599.63x = 14,619.14 × 9,389.60
  4. Step 4: Simplify right side
    10,599.63x = 137,267,866.54
  5. Step 5: Solve for x
    x = 137,267,866.54/10,599.63
  6. Step 6: Final answer
    x = 12,950.26

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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.