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Finding the Fourth Proportional to 9,649.62, 13,307.57 and 6,290.76

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Solution

The fourth proportional to 9,649.62, 13,307.57 and 6,290.76 is: 8,675.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.62 : 13,307.57 = 6,290.76 : x
  2. Step 2: Convert to fraction form
    9,649.62/13,307.57 = 6,290.76/x
  3. Step 3: Cross multiply
    9,649.62x = 13,307.57 × 6,290.76
  4. Step 4: Simplify right side
    9,649.62x = 83,714,697.60
  5. Step 5: Solve for x
    x = 83,714,697.60/9,649.62
  6. Step 6: Final answer
    x = 8,675.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.