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Finding the Fourth Proportional to 9,046.48, 13,549.67 and 6,951.06

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Solution

The fourth proportional to 9,046.48, 13,549.67 and 6,951.06 is: 10,411.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,046.48 : 13,549.67 = 6,951.06 : x
  2. Step 2: Convert to fraction form
    9,046.48/13,549.67 = 6,951.06/x
  3. Step 3: Cross multiply
    9,046.48x = 13,549.67 × 6,951.06
  4. Step 4: Simplify right side
    9,046.48x = 94,184,569.15
  5. Step 5: Solve for x
    x = 94,184,569.15/9,046.48
  6. Step 6: Final answer
    x = 10,411.18

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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.