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Finding the Fourth Proportional to 9,095.18, 13,638.15 and 4,652.16

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Solution

The fourth proportional to 9,095.18, 13,638.15 and 4,652.16 is: 6,975.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,095.18 : 13,638.15 = 4,652.16 : x
  2. Step 2: Convert to fraction form
    9,095.18/13,638.15 = 4,652.16/x
  3. Step 3: Cross multiply
    9,095.18x = 13,638.15 × 4,652.16
  4. Step 4: Simplify right side
    9,095.18x = 63,446,855.90
  5. Step 5: Solve for x
    x = 63,446,855.90/9,095.18
  6. Step 6: Final answer
    x = 6,975.88

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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.