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Finding the Fourth Proportional to 9,675.57, 14,518.35 and 4,127.42

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Solution

The fourth proportional to 9,675.57, 14,518.35 and 4,127.42 is: 6,193.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.57 : 14,518.35 = 4,127.42 : x
  2. Step 2: Convert to fraction form
    9,675.57/14,518.35 = 4,127.42/x
  3. Step 3: Cross multiply
    9,675.57x = 14,518.35 × 4,127.42
  4. Step 4: Simplify right side
    9,675.57x = 59,923,364.45
  5. Step 5: Solve for x
    x = 59,923,364.45/9,675.57
  6. Step 6: Final answer
    x = 6,193.26

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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.