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Finding the Fourth Proportional to 9,835.16, 13,563.25 and 6,472.04

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Solution

The fourth proportional to 9,835.16, 13,563.25 and 6,472.04 is: 8,925.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.16 : 13,563.25 = 6,472.04 : x
  2. Step 2: Convert to fraction form
    9,835.16/13,563.25 = 6,472.04/x
  3. Step 3: Cross multiply
    9,835.16x = 13,563.25 × 6,472.04
  4. Step 4: Simplify right side
    9,835.16x = 87,781,812.53
  5. Step 5: Solve for x
    x = 87,781,812.53/9,835.16
  6. Step 6: Final answer
    x = 8,925.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.