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Finding the Fourth Proportional to 8,649.61, 12,927.03 and 6,314.54

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Solution

The fourth proportional to 8,649.61, 12,927.03 and 6,314.54 is: 9,437.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.61 : 12,927.03 = 6,314.54 : x
  2. Step 2: Convert to fraction form
    8,649.61/12,927.03 = 6,314.54/x
  3. Step 3: Cross multiply
    8,649.61x = 12,927.03 × 6,314.54
  4. Step 4: Simplify right side
    8,649.61x = 81,628,159.70
  5. Step 5: Solve for x
    x = 81,628,159.70/8,649.61
  6. Step 6: Final answer
    x = 9,437.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.