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Finding the Fourth Proportional to 9,966.34, 14,928.54 and 9,391.96

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Solution

The fourth proportional to 9,966.34, 14,928.54 and 9,391.96 is: 14,068.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.34 : 14,928.54 = 9,391.96 : x
  2. Step 2: Convert to fraction form
    9,966.34/14,928.54 = 9,391.96/x
  3. Step 3: Cross multiply
    9,966.34x = 14,928.54 × 9,391.96
  4. Step 4: Simplify right side
    9,966.34x = 140,208,250.54
  5. Step 5: Solve for x
    x = 140,208,250.54/9,966.34
  6. Step 6: Final answer
    x = 14,068.18

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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.