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Finding the Fourth Proportional to 6,282.06, 9,454.59 and 4,730.10

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Solution

The fourth proportional to 6,282.06, 9,454.59 and 4,730.10 is: 7,118.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282.06 : 9,454.59 = 4,730.10 : x
  2. Step 2: Convert to fraction form
    6,282.06/9,454.59 = 4,730.10/x
  3. Step 3: Cross multiply
    6,282.06x = 9,454.59 × 4,730.10
  4. Step 4: Simplify right side
    6,282.06x = 44,721,156.16
  5. Step 5: Solve for x
    x = 44,721,156.16/6,282.06
  6. Step 6: Final answer
    x = 7,118.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.