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Finding the Fourth Proportional to 10,604.11, 14,637.61 and 9,106.02

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Solution

The fourth proportional to 10,604.11, 14,637.61 and 9,106.02 is: 12,569.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,604.11 : 14,637.61 = 9,106.02 : x
  2. Step 2: Convert to fraction form
    10,604.11/14,637.61 = 9,106.02/x
  3. Step 3: Cross multiply
    10,604.11x = 14,637.61 × 9,106.02
  4. Step 4: Simplify right side
    10,604.11x = 133,290,369.41
  5. Step 5: Solve for x
    x = 133,290,369.41/10,604.11
  6. Step 6: Final answer
    x = 12,569.69

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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.