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Finding the Fourth Proportional to 9,002.16, 13,497.12 and 3,158

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Solution

The fourth proportional to 9,002.16, 13,497.12 and 3,158 is: 4,734.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002.16 : 13,497.12 = 3,158 : x
  2. Step 2: Convert to fraction form
    9,002.16/13,497.12 = 3,158/x
  3. Step 3: Cross multiply
    9,002.16x = 13,497.12 × 3,158
  4. Step 4: Simplify right side
    9,002.16x = 42,623,904.96
  5. Step 5: Solve for x
    x = 42,623,904.96/9,002.16
  6. Step 6: Final answer
    x = 4,734.85

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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.