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Finding the Fourth Proportional to 9,656.64, 14,486.10 and 3,415.35

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Solution

The fourth proportional to 9,656.64, 14,486.10 and 3,415.35 is: 5,123.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.64 : 14,486.10 = 3,415.35 : x
  2. Step 2: Convert to fraction form
    9,656.64/14,486.10 = 3,415.35/x
  3. Step 3: Cross multiply
    9,656.64x = 14,486.10 × 3,415.35
  4. Step 4: Simplify right side
    9,656.64x = 49,475,101.64
  5. Step 5: Solve for x
    x = 49,475,101.64/9,656.64
  6. Step 6: Final answer
    x = 5,123.43

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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.