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Finding the Fourth Proportional to 10,973.44, 16,415 and 9,127.06

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Solution

The fourth proportional to 10,973.44, 16,415 and 9,127.06 is: 13,653.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,973.44 : 16,415 = 9,127.06 : x
  2. Step 2: Convert to fraction form
    10,973.44/16,415 = 9,127.06/x
  3. Step 3: Cross multiply
    10,973.44x = 16,415 × 9,127.06
  4. Step 4: Simplify right side
    10,973.44x = 149,820,689.90
  5. Step 5: Solve for x
    x = 149,820,689.90/10,973.44
  6. Step 6: Final answer
    x = 13,653.03

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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.