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Finding the Fourth Proportional to 6,477.68, 9,710.35 and 4,131.10

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Solution

The fourth proportional to 6,477.68, 9,710.35 and 4,131.10 is: 6,192.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.68 : 9,710.35 = 4,131.10 : x
  2. Step 2: Convert to fraction form
    6,477.68/9,710.35 = 4,131.10/x
  3. Step 3: Cross multiply
    6,477.68x = 9,710.35 × 4,131.10
  4. Step 4: Simplify right side
    6,477.68x = 40,114,426.89
  5. Step 5: Solve for x
    x = 40,114,426.89/6,477.68
  6. Step 6: Final answer
    x = 6,192.72

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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.