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Finding the Fourth Proportional to 9,395.60, 12,965.95 and 5,416.99

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Solution

The fourth proportional to 9,395.60, 12,965.95 and 5,416.99 is: 7,475.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,395.60 : 12,965.95 = 5,416.99 : x
  2. Step 2: Convert to fraction form
    9,395.60/12,965.95 = 5,416.99/x
  3. Step 3: Cross multiply
    9,395.60x = 12,965.95 × 5,416.99
  4. Step 4: Simplify right side
    9,395.60x = 70,236,421.49
  5. Step 5: Solve for x
    x = 70,236,421.49/9,395.60
  6. Step 6: Final answer
    x = 7,475.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.