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Finding the Fourth Proportional to 9,568.40, 14,364.30 and 6,058.40

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Solution

The fourth proportional to 9,568.40, 14,364.30 and 6,058.40 is: 9,095.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.40 : 14,364.30 = 6,058.40 : x
  2. Step 2: Convert to fraction form
    9,568.40/14,364.30 = 6,058.40/x
  3. Step 3: Cross multiply
    9,568.40x = 14,364.30 × 6,058.40
  4. Step 4: Simplify right side
    9,568.40x = 87,024,675.12
  5. Step 5: Solve for x
    x = 87,024,675.12/9,568.40
  6. Step 6: Final answer
    x = 9,095.01

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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.