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Finding the Fourth Proportional to 9,706.25, 14,565.02 and 4,083.51

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Solution

The fourth proportional to 9,706.25, 14,565.02 and 4,083.51 is: 6,127.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.25 : 14,565.02 = 4,083.51 : x
  2. Step 2: Convert to fraction form
    9,706.25/14,565.02 = 4,083.51/x
  3. Step 3: Cross multiply
    9,706.25x = 14,565.02 × 4,083.51
  4. Step 4: Simplify right side
    9,706.25x = 59,476,404.82
  5. Step 5: Solve for x
    x = 59,476,404.82/9,706.25
  6. Step 6: Final answer
    x = 6,127.64

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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.