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Finding the Fourth Proportional to 9,985.86, 14,874.12 and 9,480.42

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Solution

The fourth proportional to 9,985.86, 14,874.12 and 9,480.42 is: 14,121.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.86 : 14,874.12 = 9,480.42 : x
  2. Step 2: Convert to fraction form
    9,985.86/14,874.12 = 9,480.42/x
  3. Step 3: Cross multiply
    9,985.86x = 14,874.12 × 9,480.42
  4. Step 4: Simplify right side
    9,985.86x = 141,012,904.73
  5. Step 5: Solve for x
    x = 141,012,904.73/9,985.86
  6. Step 6: Final answer
    x = 14,121.26

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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.