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Finding the Fourth Proportional to 6,312.06, 9,468.10 and 2,152.10

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Solution

The fourth proportional to 6,312.06, 9,468.10 and 2,152.10 is: 3,228.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.06 : 9,468.10 = 2,152.10 : x
  2. Step 2: Convert to fraction form
    6,312.06/9,468.10 = 2,152.10/x
  3. Step 3: Cross multiply
    6,312.06x = 9,468.10 × 2,152.10
  4. Step 4: Simplify right side
    6,312.06x = 20,376,298.01
  5. Step 5: Solve for x
    x = 20,376,298.01/6,312.06
  6. Step 6: Final answer
    x = 3,228.15

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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.