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Finding the Fourth Proportional to 9,468.63, 14,181.08 and 5,302.40

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Solution

The fourth proportional to 9,468.63, 14,181.08 and 5,302.40 is: 7,941.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.63 : 14,181.08 = 5,302.40 : x
  2. Step 2: Convert to fraction form
    9,468.63/14,181.08 = 5,302.40/x
  3. Step 3: Cross multiply
    9,468.63x = 14,181.08 × 5,302.40
  4. Step 4: Simplify right side
    9,468.63x = 75,193,661.17
  5. Step 5: Solve for x
    x = 75,193,661.17/9,468.63
  6. Step 6: Final answer
    x = 7,941.35

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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.