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Finding the Fourth Proportional to 9,509.95, 14,267.08 and 5,127.31

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Solution

The fourth proportional to 9,509.95, 14,267.08 and 5,127.31 is: 7,692.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.95 : 14,267.08 = 5,127.31 : x
  2. Step 2: Convert to fraction form
    9,509.95/14,267.08 = 5,127.31/x
  3. Step 3: Cross multiply
    9,509.95x = 14,267.08 × 5,127.31
  4. Step 4: Simplify right side
    9,509.95x = 73,151,670.62
  5. Step 5: Solve for x
    x = 73,151,670.62/9,509.95
  6. Step 6: Final answer
    x = 7,692.12

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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.