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Finding the Fourth Proportional to 9,763.21, 14,646.98 and 4,566.25

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Solution

The fourth proportional to 9,763.21, 14,646.98 and 4,566.25 is: 6,850.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.21 : 14,646.98 = 4,566.25 : x
  2. Step 2: Convert to fraction form
    9,763.21/14,646.98 = 4,566.25/x
  3. Step 3: Cross multiply
    9,763.21x = 14,646.98 × 4,566.25
  4. Step 4: Simplify right side
    9,763.21x = 66,881,772.43
  5. Step 5: Solve for x
    x = 66,881,772.43/9,763.21
  6. Step 6: Final answer
    x = 6,850.39

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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.