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Finding the Fourth Proportional to 9,985.95, 14,976.36 and 2,964.30

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Solution

The fourth proportional to 9,985.95, 14,976.36 and 2,964.30 is: 4,445.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.95 : 14,976.36 = 2,964.30 : x
  2. Step 2: Convert to fraction form
    9,985.95/14,976.36 = 2,964.30/x
  3. Step 3: Cross multiply
    9,985.95x = 14,976.36 × 2,964.30
  4. Step 4: Simplify right side
    9,985.95x = 44,394,480.11
  5. Step 5: Solve for x
    x = 44,394,480.11/9,985.95
  6. Step 6: Final answer
    x = 4,445.69

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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.