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Finding the Fourth Proportional to 9,930.61, 14,894.16 and 3,689.16

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Solution

The fourth proportional to 9,930.61, 14,894.16 and 3,689.16 is: 5,533.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,930.61 : 14,894.16 = 3,689.16 : x
  2. Step 2: Convert to fraction form
    9,930.61/14,894.16 = 3,689.16/x
  3. Step 3: Cross multiply
    9,930.61x = 14,894.16 × 3,689.16
  4. Step 4: Simplify right side
    9,930.61x = 54,946,939.31
  5. Step 5: Solve for x
    x = 54,946,939.31/9,930.61
  6. Step 6: Final answer
    x = 5,533.09

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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.