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Finding the Fourth Proportional to 6,548.40, 9,822.60 and 1,931.40

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Solution

The fourth proportional to 6,548.40, 9,822.60 and 1,931.40 is: 2,897.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.40 : 9,822.60 = 1,931.40 : x
  2. Step 2: Convert to fraction form
    6,548.40/9,822.60 = 1,931.40/x
  3. Step 3: Cross multiply
    6,548.40x = 9,822.60 × 1,931.40
  4. Step 4: Simplify right side
    6,548.40x = 18,971,369.64
  5. Step 5: Solve for x
    x = 18,971,369.64/6,548.40
  6. Step 6: Final answer
    x = 2,897.10

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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.