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Finding the Fourth Proportional to 9,405.60, 12,981.42 and 5,426.16

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Solution

The fourth proportional to 9,405.60, 12,981.42 and 5,426.16 is: 7,489.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.60 : 12,981.42 = 5,426.16 : x
  2. Step 2: Convert to fraction form
    9,405.60/12,981.42 = 5,426.16/x
  3. Step 3: Cross multiply
    9,405.60x = 12,981.42 × 5,426.16
  4. Step 4: Simplify right side
    9,405.60x = 70,439,261.95
  5. Step 5: Solve for x
    x = 70,439,261.95/9,405.60
  6. Step 6: Final answer
    x = 7,489.08

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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.