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Finding the Fourth Proportional to 9,969.14, 14,957.10 and 6,267.03

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Solution

The fourth proportional to 9,969.14, 14,957.10 and 6,267.03 is: 9,402.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.14 : 14,957.10 = 6,267.03 : x
  2. Step 2: Convert to fraction form
    9,969.14/14,957.10 = 6,267.03/x
  3. Step 3: Cross multiply
    9,969.14x = 14,957.10 × 6,267.03
  4. Step 4: Simplify right side
    9,969.14x = 93,736,594.41
  5. Step 5: Solve for x
    x = 93,736,594.41/9,969.14
  6. Step 6: Final answer
    x = 9,402.68

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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.