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Finding the Fourth Proportional to 9,400.76, 12,973.46 and 5,209

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Solution

The fourth proportional to 9,400.76, 12,973.46 and 5,209 is: 7,188.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400.76 : 12,973.46 = 5,209 : x
  2. Step 2: Convert to fraction form
    9,400.76/12,973.46 = 5,209/x
  3. Step 3: Cross multiply
    9,400.76x = 12,973.46 × 5,209
  4. Step 4: Simplify right side
    9,400.76x = 67,578,753.14
  5. Step 5: Solve for x
    x = 67,578,753.14/9,400.76
  6. Step 6: Final answer
    x = 7,188.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.