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Finding the Fourth Proportional to 9,470.17, 14,209.35 and 5,082.50

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Solution

The fourth proportional to 9,470.17, 14,209.35 and 5,082.50 is: 7,625.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.17 : 14,209.35 = 5,082.50 : x
  2. Step 2: Convert to fraction form
    9,470.17/14,209.35 = 5,082.50/x
  3. Step 3: Cross multiply
    9,470.17x = 14,209.35 × 5,082.50
  4. Step 4: Simplify right side
    9,470.17x = 72,219,075.96
  5. Step 5: Solve for x
    x = 72,219,075.96/9,470.17
  6. Step 6: Final answer
    x = 7,625.95

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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.