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Finding the Fourth Proportional to 9,985.50, 14,988.17 and 5,305.55

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Solution

The fourth proportional to 9,985.50, 14,988.17 and 5,305.55 is: 7,963.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.50 : 14,988.17 = 5,305.55 : x
  2. Step 2: Convert to fraction form
    9,985.50/14,988.17 = 5,305.55/x
  3. Step 3: Cross multiply
    9,985.50x = 14,988.17 × 5,305.55
  4. Step 4: Simplify right side
    9,985.50x = 79,520,485.34
  5. Step 5: Solve for x
    x = 79,520,485.34/9,985.50
  6. Step 6: Final answer
    x = 7,963.60

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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.