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Finding the Fourth Proportional to 9,620.40, 14,430.60 and 4,693.20

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Solution

The fourth proportional to 9,620.40, 14,430.60 and 4,693.20 is: 7,039.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,620.40 : 14,430.60 = 4,693.20 : x
  2. Step 2: Convert to fraction form
    9,620.40/14,430.60 = 4,693.20/x
  3. Step 3: Cross multiply
    9,620.40x = 14,430.60 × 4,693.20
  4. Step 4: Simplify right side
    9,620.40x = 67,725,691.92
  5. Step 5: Solve for x
    x = 67,725,691.92/9,620.40
  6. Step 6: Final answer
    x = 7,039.80

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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.