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Finding the Fourth Proportional to 9,158.34, 13,737.48 and 4,784.34

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Solution

The fourth proportional to 9,158.34, 13,737.48 and 4,784.34 is: 7,176.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158.34 : 13,737.48 = 4,784.34 : x
  2. Step 2: Convert to fraction form
    9,158.34/13,737.48 = 4,784.34/x
  3. Step 3: Cross multiply
    9,158.34x = 13,737.48 × 4,784.34
  4. Step 4: Simplify right side
    9,158.34x = 65,724,775.06
  5. Step 5: Solve for x
    x = 65,724,775.06/9,158.34
  6. Step 6: Final answer
    x = 7,176.49

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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.