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Finding the Fourth Proportional to 9,822.18, 13,554.72 and 5,346

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Solution

The fourth proportional to 9,822.18, 13,554.72 and 5,346 is: 7,377.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.18 : 13,554.72 = 5,346 : x
  2. Step 2: Convert to fraction form
    9,822.18/13,554.72 = 5,346/x
  3. Step 3: Cross multiply
    9,822.18x = 13,554.72 × 5,346
  4. Step 4: Simplify right side
    9,822.18x = 72,463,533.12
  5. Step 5: Solve for x
    x = 72,463,533.12/9,822.18
  6. Step 6: Final answer
    x = 7,377.54

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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.