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Finding the Fourth Proportional to 9,677.02, 13,353.78 and 5,485

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Solution

The fourth proportional to 9,677.02, 13,353.78 and 5,485 is: 7,569.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.02 : 13,353.78 = 5,485 : x
  2. Step 2: Convert to fraction form
    9,677.02/13,353.78 = 5,485/x
  3. Step 3: Cross multiply
    9,677.02x = 13,353.78 × 5,485
  4. Step 4: Simplify right side
    9,677.02x = 73,245,483.30
  5. Step 5: Solve for x
    x = 73,245,483.30/9,677.02
  6. Step 6: Final answer
    x = 7,569.01

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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.