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Finding the Fourth Proportional to 9,354.96, 14,030.28 and 4,158

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Solution

The fourth proportional to 9,354.96, 14,030.28 and 4,158 is: 6,236.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.96 : 14,030.28 = 4,158 : x
  2. Step 2: Convert to fraction form
    9,354.96/14,030.28 = 4,158/x
  3. Step 3: Cross multiply
    9,354.96x = 14,030.28 × 4,158
  4. Step 4: Simplify right side
    9,354.96x = 58,337,904.24
  5. Step 5: Solve for x
    x = 58,337,904.24/9,354.96
  6. Step 6: Final answer
    x = 6,236.04

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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.