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Finding the Fourth Proportional to 9,557.40, 14,320.41 and 9,192.90

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Solution

The fourth proportional to 9,557.40, 14,320.41 and 9,192.90 is: 13,774.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,557.40 : 14,320.41 = 9,192.90 : x
  2. Step 2: Convert to fraction form
    9,557.40/14,320.41 = 9,192.90/x
  3. Step 3: Cross multiply
    9,557.40x = 14,320.41 × 9,192.90
  4. Step 4: Simplify right side
    9,557.40x = 131,646,097.09
  5. Step 5: Solve for x
    x = 131,646,097.09/9,557.40
  6. Step 6: Final answer
    x = 13,774.26

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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.