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Finding the Fourth Proportional to 9,818.30, 13,549.07 and 5,342.18

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Solution

The fourth proportional to 9,818.30, 13,549.07 and 5,342.18 is: 7,372.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,818.30 : 13,549.07 = 5,342.18 : x
  2. Step 2: Convert to fraction form
    9,818.30/13,549.07 = 5,342.18/x
  3. Step 3: Cross multiply
    9,818.30x = 13,549.07 × 5,342.18
  4. Step 4: Simplify right side
    9,818.30x = 72,381,476.32
  5. Step 5: Solve for x
    x = 72,381,476.32/9,818.30
  6. Step 6: Final answer
    x = 7,372.10

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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.