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Finding the Fourth Proportional to 9,905.97, 14,784.54 and 8,565.84

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Solution

The fourth proportional to 9,905.97, 14,784.54 and 8,565.84 is: 12,784.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905.97 : 14,784.54 = 8,565.84 : x
  2. Step 2: Convert to fraction form
    9,905.97/14,784.54 = 8,565.84/x
  3. Step 3: Cross multiply
    9,905.97x = 14,784.54 × 8,565.84
  4. Step 4: Simplify right side
    9,905.97x = 126,641,971.99
  5. Step 5: Solve for x
    x = 126,641,971.99/9,905.97
  6. Step 6: Final answer
    x = 12,784.40

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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.