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Finding the Fourth Proportional to 9,393.12, 14,088.48 and 2,468.16

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Solution

The fourth proportional to 9,393.12, 14,088.48 and 2,468.16 is: 3,701.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,393.12 : 14,088.48 = 2,468.16 : x
  2. Step 2: Convert to fraction form
    9,393.12/14,088.48 = 2,468.16/x
  3. Step 3: Cross multiply
    9,393.12x = 14,088.48 × 2,468.16
  4. Step 4: Simplify right side
    9,393.12x = 34,772,622.80
  5. Step 5: Solve for x
    x = 34,772,622.80/9,393.12
  6. Step 6: Final answer
    x = 3,701.92

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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.