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Finding the Fourth Proportional to 9,399.30, 12,970.68 and 5,420.58

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Solution

The fourth proportional to 9,399.30, 12,970.68 and 5,420.58 is: 7,480.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,399.30 : 12,970.68 = 5,420.58 : x
  2. Step 2: Convert to fraction form
    9,399.30/12,970.68 = 5,420.58/x
  3. Step 3: Cross multiply
    9,399.30x = 12,970.68 × 5,420.58
  4. Step 4: Simplify right side
    9,399.30x = 70,308,608.59
  5. Step 5: Solve for x
    x = 70,308,608.59/9,399.30
  6. Step 6: Final answer
    x = 7,480.20

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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.