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Finding the Fourth Proportional to 9,656.88, 14,482.80 and 3,416.28

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Solution

The fourth proportional to 9,656.88, 14,482.80 and 3,416.28 is: 5,123.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.88 : 14,482.80 = 3,416.28 : x
  2. Step 2: Convert to fraction form
    9,656.88/14,482.80 = 3,416.28/x
  3. Step 3: Cross multiply
    9,656.88x = 14,482.80 × 3,416.28
  4. Step 4: Simplify right side
    9,656.88x = 49,477,299.98
  5. Step 5: Solve for x
    x = 49,477,299.98/9,656.88
  6. Step 6: Final answer
    x = 5,123.53

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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.