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Finding the Fourth Proportional to 9,987.94, 14,977.27 and 5,829.17

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Solution

The fourth proportional to 9,987.94, 14,977.27 and 5,829.17 is: 8,741.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,987.94 : 14,977.27 = 5,829.17 : x
  2. Step 2: Convert to fraction form
    9,987.94/14,977.27 = 5,829.17/x
  3. Step 3: Cross multiply
    9,987.94x = 14,977.27 × 5,829.17
  4. Step 4: Simplify right side
    9,987.94x = 87,304,985.37
  5. Step 5: Solve for x
    x = 87,304,985.37/9,987.94
  6. Step 6: Final answer
    x = 8,741.04

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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.