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Finding the Fourth Proportional to 9,591.41, 14,368.28 and 8,546.51

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Solution

The fourth proportional to 9,591.41, 14,368.28 and 8,546.51 is: 12,802.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,591.41 : 14,368.28 = 8,546.51 : x
  2. Step 2: Convert to fraction form
    9,591.41/14,368.28 = 8,546.51/x
  3. Step 3: Cross multiply
    9,591.41x = 14,368.28 × 8,546.51
  4. Step 4: Simplify right side
    9,591.41x = 122,798,648.70
  5. Step 5: Solve for x
    x = 122,798,648.70/9,591.41
  6. Step 6: Final answer
    x = 12,802.98

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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.