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Finding the Fourth Proportional to 9,792.16, 14,686.32 and 2,866.72

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Solution

The fourth proportional to 9,792.16, 14,686.32 and 2,866.72 is: 4,299.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.16 : 14,686.32 = 2,866.72 : x
  2. Step 2: Convert to fraction form
    9,792.16/14,686.32 = 2,866.72/x
  3. Step 3: Cross multiply
    9,792.16x = 14,686.32 × 2,866.72
  4. Step 4: Simplify right side
    9,792.16x = 42,101,567.27
  5. Step 5: Solve for x
    x = 42,101,567.27/9,792.16
  6. Step 6: Final answer
    x = 4,299.52

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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.