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Finding the Fourth Proportional to 9,564.84, 13,199.94 and 5,373

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Solution

The fourth proportional to 9,564.84, 13,199.94 and 5,373 is: 7,415.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.84 : 13,199.94 = 5,373 : x
  2. Step 2: Convert to fraction form
    9,564.84/13,199.94 = 5,373/x
  3. Step 3: Cross multiply
    9,564.84x = 13,199.94 × 5,373
  4. Step 4: Simplify right side
    9,564.84x = 70,923,277.62
  5. Step 5: Solve for x
    x = 70,923,277.62/9,564.84
  6. Step 6: Final answer
    x = 7,415.00

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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.