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Finding the Fourth Proportional to 9,835.02, 13,572.36 and 5,643

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Solution

The fourth proportional to 9,835.02, 13,572.36 and 5,643 is: 7,787.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.02 : 13,572.36 = 5,643 : x
  2. Step 2: Convert to fraction form
    9,835.02/13,572.36 = 5,643/x
  3. Step 3: Cross multiply
    9,835.02x = 13,572.36 × 5,643
  4. Step 4: Simplify right side
    9,835.02x = 76,588,827.48
  5. Step 5: Solve for x
    x = 76,588,827.48/9,835.02
  6. Step 6: Final answer
    x = 7,787.36

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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.