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Finding the Fourth Proportional to 9,405.32, 14,142.54 and 9,025.16

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Solution

The fourth proportional to 9,405.32, 14,142.54 and 9,025.16 is: 13,570.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.32 : 14,142.54 = 9,025.16 : x
  2. Step 2: Convert to fraction form
    9,405.32/14,142.54 = 9,025.16/x
  3. Step 3: Cross multiply
    9,405.32x = 14,142.54 × 9,025.16
  4. Step 4: Simplify right side
    9,405.32x = 127,638,686.31
  5. Step 5: Solve for x
    x = 127,638,686.31/9,405.32
  6. Step 6: Final answer
    x = 13,570.90

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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.