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Finding the Fourth Proportional to 9,830.98, 14,752.50 and 3,987.64

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Solution

The fourth proportional to 9,830.98, 14,752.50 and 3,987.64 is: 5,983.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.98 : 14,752.50 = 3,987.64 : x
  2. Step 2: Convert to fraction form
    9,830.98/14,752.50 = 3,987.64/x
  3. Step 3: Cross multiply
    9,830.98x = 14,752.50 × 3,987.64
  4. Step 4: Simplify right side
    9,830.98x = 58,827,659.10
  5. Step 5: Solve for x
    x = 58,827,659.10/9,830.98
  6. Step 6: Final answer
    x = 5,983.91

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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.