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Finding the Fourth Proportional to 7,146.72, 9,840.06 and 6,490.62

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Solution

The fourth proportional to 7,146.72, 9,840.06 and 6,490.62 is: 8,936.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.72 : 9,840.06 = 6,490.62 : x
  2. Step 2: Convert to fraction form
    7,146.72/9,840.06 = 6,490.62/x
  3. Step 3: Cross multiply
    7,146.72x = 9,840.06 × 6,490.62
  4. Step 4: Simplify right side
    7,146.72x = 63,868,090.24
  5. Step 5: Solve for x
    x = 63,868,090.24/7,146.72
  6. Step 6: Final answer
    x = 8,936.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.