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Finding the Fourth Proportional to 9,780.78, 14,602.70 and 8,951.34

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Solution

The fourth proportional to 9,780.78, 14,602.70 and 8,951.34 is: 13,364.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.78 : 14,602.70 = 8,951.34 : x
  2. Step 2: Convert to fraction form
    9,780.78/14,602.70 = 8,951.34/x
  3. Step 3: Cross multiply
    9,780.78x = 14,602.70 × 8,951.34
  4. Step 4: Simplify right side
    9,780.78x = 130,713,687.86
  5. Step 5: Solve for x
    x = 130,713,687.86/9,780.78
  6. Step 6: Final answer
    x = 13,364.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.