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Finding the Fourth Proportional to 8,977.32, 13,459.34 and 4,357

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Solution

The fourth proportional to 8,977.32, 13,459.34 and 4,357 is: 6,532.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,977.32 : 13,459.34 = 4,357 : x
  2. Step 2: Convert to fraction form
    8,977.32/13,459.34 = 4,357/x
  3. Step 3: Cross multiply
    8,977.32x = 13,459.34 × 4,357
  4. Step 4: Simplify right side
    8,977.32x = 58,642,344.38
  5. Step 5: Solve for x
    x = 58,642,344.38/8,977.32
  6. Step 6: Final answer
    x = 6,532.28

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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.