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Finding the Fourth Proportional to 6,440.16, 9,638.36 and 4,985.80

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Solution

The fourth proportional to 6,440.16, 9,638.36 and 4,985.80 is: 7,461.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.16 : 9,638.36 = 4,985.80 : x
  2. Step 2: Convert to fraction form
    6,440.16/9,638.36 = 4,985.80/x
  3. Step 3: Cross multiply
    6,440.16x = 9,638.36 × 4,985.80
  4. Step 4: Simplify right side
    6,440.16x = 48,054,935.29
  5. Step 5: Solve for x
    x = 48,054,935.29/6,440.16
  6. Step 6: Final answer
    x = 7,461.76

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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.