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Finding the Fourth Proportional to 9,878.09, 14,808.56 and 4,030.97

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Solution

The fourth proportional to 9,878.09, 14,808.56 and 4,030.97 is: 6,042.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.09 : 14,808.56 = 4,030.97 : x
  2. Step 2: Convert to fraction form
    9,878.09/14,808.56 = 4,030.97/x
  3. Step 3: Cross multiply
    9,878.09x = 14,808.56 × 4,030.97
  4. Step 4: Simplify right side
    9,878.09x = 59,692,766.91
  5. Step 5: Solve for x
    x = 59,692,766.91/9,878.09
  6. Step 6: Final answer
    x = 6,042.95

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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.