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Finding the Fourth Proportional to 9,618.46, 14,416.91 and 6,293.10

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Solution

The fourth proportional to 9,618.46, 14,416.91 and 6,293.10 is: 9,432.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,618.46 : 14,416.91 = 6,293.10 : x
  2. Step 2: Convert to fraction form
    9,618.46/14,416.91 = 6,293.10/x
  3. Step 3: Cross multiply
    9,618.46x = 14,416.91 × 6,293.10
  4. Step 4: Simplify right side
    9,618.46x = 90,727,056.32
  5. Step 5: Solve for x
    x = 90,727,056.32/9,618.46
  6. Step 6: Final answer
    x = 9,432.60

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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.