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Finding the Fourth Proportional to 9,886.48, 14,827.32 and 4,618.16

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Solution

The fourth proportional to 9,886.48, 14,827.32 and 4,618.16 is: 6,926.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,886.48 : 14,827.32 = 4,618.16 : x
  2. Step 2: Convert to fraction form
    9,886.48/14,827.32 = 4,618.16/x
  3. Step 3: Cross multiply
    9,886.48x = 14,827.32 × 4,618.16
  4. Step 4: Simplify right side
    9,886.48x = 68,474,936.13
  5. Step 5: Solve for x
    x = 68,474,936.13/9,886.48
  6. Step 6: Final answer
    x = 6,926.12

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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.