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Finding the Fourth Proportional to 8,969.40, 13,458.06 and 3,130.20

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Solution

The fourth proportional to 8,969.40, 13,458.06 and 3,130.20 is: 4,696.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,969.40 : 13,458.06 = 3,130.20 : x
  2. Step 2: Convert to fraction form
    8,969.40/13,458.06 = 3,130.20/x
  3. Step 3: Cross multiply
    8,969.40x = 13,458.06 × 3,130.20
  4. Step 4: Simplify right side
    8,969.40x = 42,126,419.41
  5. Step 5: Solve for x
    x = 42,126,419.41/8,969.40
  6. Step 6: Final answer
    x = 4,696.68

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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.