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Finding the Fourth Proportional to 6,421.76, 9,638.13 and 4,577.39

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Solution

The fourth proportional to 6,421.76, 9,638.13 and 4,577.39 is: 6,870.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,421.76 : 9,638.13 = 4,577.39 : x
  2. Step 2: Convert to fraction form
    6,421.76/9,638.13 = 4,577.39/x
  3. Step 3: Cross multiply
    6,421.76x = 9,638.13 × 4,577.39
  4. Step 4: Simplify right side
    6,421.76x = 44,117,479.88
  5. Step 5: Solve for x
    x = 44,117,479.88/6,421.76
  6. Step 6: Final answer
    x = 6,870.00

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