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Finding the Fourth Proportional to 9,475.17, 14,216.85 and 5,087.50

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Solution

The fourth proportional to 9,475.17, 14,216.85 and 5,087.50 is: 7,633.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,475.17 : 14,216.85 = 5,087.50 : x
  2. Step 2: Convert to fraction form
    9,475.17/14,216.85 = 5,087.50/x
  3. Step 3: Cross multiply
    9,475.17x = 14,216.85 × 5,087.50
  4. Step 4: Simplify right side
    9,475.17x = 72,328,224.38
  5. Step 5: Solve for x
    x = 72,328,224.38/9,475.17
  6. Step 6: Final answer
    x = 7,633.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.