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Finding the Fourth Proportional to 9,707.25, 14,566.52 and 4,084.51

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Solution

The fourth proportional to 9,707.25, 14,566.52 and 4,084.51 is: 6,129.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.25 : 14,566.52 = 4,084.51 : x
  2. Step 2: Convert to fraction form
    9,707.25/14,566.52 = 4,084.51/x
  3. Step 3: Cross multiply
    9,707.25x = 14,566.52 × 4,084.51
  4. Step 4: Simplify right side
    9,707.25x = 59,497,096.61
  5. Step 5: Solve for x
    x = 59,497,096.61/9,707.25
  6. Step 6: Final answer
    x = 6,129.14

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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.