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Finding the Fourth Proportional to 9,650.84, 13,319.46 and 5,459

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Solution

The fourth proportional to 9,650.84, 13,319.46 and 5,459 is: 7,534.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.84 : 13,319.46 = 5,459 : x
  2. Step 2: Convert to fraction form
    9,650.84/13,319.46 = 5,459/x
  3. Step 3: Cross multiply
    9,650.84x = 13,319.46 × 5,459
  4. Step 4: Simplify right side
    9,650.84x = 72,710,932.14
  5. Step 5: Solve for x
    x = 72,710,932.14/9,650.84
  6. Step 6: Final answer
    x = 7,534.16

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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.