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Finding the Fourth Proportional to 6,430.56, 9,646.16 and 3,146.40

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Solution

The fourth proportional to 6,430.56, 9,646.16 and 3,146.40 is: 4,719.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.56 : 9,646.16 = 3,146.40 : x
  2. Step 2: Convert to fraction form
    6,430.56/9,646.16 = 3,146.40/x
  3. Step 3: Cross multiply
    6,430.56x = 9,646.16 × 3,146.40
  4. Step 4: Simplify right side
    6,430.56x = 30,350,677.82
  5. Step 5: Solve for x
    x = 30,350,677.82/6,430.56
  6. Step 6: Final answer
    x = 4,719.76

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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.