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Finding the Fourth Proportional to 9,348.66, 14,032.22 and 4,966.11

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Solution

The fourth proportional to 9,348.66, 14,032.22 and 4,966.11 is: 7,454.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348.66 : 14,032.22 = 4,966.11 : x
  2. Step 2: Convert to fraction form
    9,348.66/14,032.22 = 4,966.11/x
  3. Step 3: Cross multiply
    9,348.66x = 14,032.22 × 4,966.11
  4. Step 4: Simplify right side
    9,348.66x = 69,685,523.23
  5. Step 5: Solve for x
    x = 69,685,523.23/9,348.66
  6. Step 6: Final answer
    x = 7,454.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.