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Finding the Fourth Proportional to 9,735.64, 14,601.76 and 3,160.88

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Solution

The fourth proportional to 9,735.64, 14,601.76 and 3,160.88 is: 4,740.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.64 : 14,601.76 = 3,160.88 : x
  2. Step 2: Convert to fraction form
    9,735.64/14,601.76 = 3,160.88/x
  3. Step 3: Cross multiply
    9,735.64x = 14,601.76 × 3,160.88
  4. Step 4: Simplify right side
    9,735.64x = 46,154,411.15
  5. Step 5: Solve for x
    x = 46,154,411.15/9,735.64
  6. Step 6: Final answer
    x = 4,740.77

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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.