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Finding the Fourth Proportional to 9,792.34, 14,684.01 and 4,860.25

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Solution

The fourth proportional to 9,792.34, 14,684.01 and 4,860.25 is: 7,288.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.34 : 14,684.01 = 4,860.25 : x
  2. Step 2: Convert to fraction form
    9,792.34/14,684.01 = 4,860.25/x
  3. Step 3: Cross multiply
    9,792.34x = 14,684.01 × 4,860.25
  4. Step 4: Simplify right side
    9,792.34x = 71,367,959.60
  5. Step 5: Solve for x
    x = 71,367,959.60/9,792.34
  6. Step 6: Final answer
    x = 7,288.14

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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.