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Finding the Fourth Proportional to 9,178.38, 13,762.53 and 4,245.30

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Solution

The fourth proportional to 9,178.38, 13,762.53 and 4,245.30 is: 6,365.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.38 : 13,762.53 = 4,245.30 : x
  2. Step 2: Convert to fraction form
    9,178.38/13,762.53 = 4,245.30/x
  3. Step 3: Cross multiply
    9,178.38x = 13,762.53 × 4,245.30
  4. Step 4: Simplify right side
    9,178.38x = 58,426,068.61
  5. Step 5: Solve for x
    x = 58,426,068.61/9,178.38
  6. Step 6: Final answer
    x = 6,365.62

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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.