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Finding the Fourth Proportional to 9,478.10, 14,187.98 and 6,184.10

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Solution

The fourth proportional to 9,478.10, 14,187.98 and 6,184.10 is: 9,257.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.10 : 14,187.98 = 6,184.10 : x
  2. Step 2: Convert to fraction form
    9,478.10/14,187.98 = 6,184.10/x
  3. Step 3: Cross multiply
    9,478.10x = 14,187.98 × 6,184.10
  4. Step 4: Simplify right side
    9,478.10x = 87,739,831.64
  5. Step 5: Solve for x
    x = 87,739,831.64/9,478.10
  6. Step 6: Final answer
    x = 9,257.12

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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.