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Finding the Fourth Proportional to 6,430.60, 9,645.90 and 3,150.10

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Solution

The fourth proportional to 6,430.60, 9,645.90 and 3,150.10 is: 4,725.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.60 : 9,645.90 = 3,150.10 : x
  2. Step 2: Convert to fraction form
    6,430.60/9,645.90 = 3,150.10/x
  3. Step 3: Cross multiply
    6,430.60x = 9,645.90 × 3,150.10
  4. Step 4: Simplify right side
    6,430.60x = 30,385,549.59
  5. Step 5: Solve for x
    x = 30,385,549.59/6,430.60
  6. Step 6: Final answer
    x = 4,725.15

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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.