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Finding the Fourth Proportional to 9,528.72, 14,188.90 and 9,178.80

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Solution

The fourth proportional to 9,528.72, 14,188.90 and 9,178.80 is: 13,667.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,528.72 : 14,188.90 = 9,178.80 : x
  2. Step 2: Convert to fraction form
    9,528.72/14,188.90 = 9,178.80/x
  3. Step 3: Cross multiply
    9,528.72x = 14,188.90 × 9,178.80
  4. Step 4: Simplify right side
    9,528.72x = 130,237,075.32
  5. Step 5: Solve for x
    x = 130,237,075.32/9,528.72
  6. Step 6: Final answer
    x = 13,667.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.