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Finding the Fourth Proportional to 9,853.34, 13,597.40 and 5,377.07

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Solution

The fourth proportional to 9,853.34, 13,597.40 and 5,377.07 is: 7,420.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.34 : 13,597.40 = 5,377.07 : x
  2. Step 2: Convert to fraction form
    9,853.34/13,597.40 = 5,377.07/x
  3. Step 3: Cross multiply
    9,853.34x = 13,597.40 × 5,377.07
  4. Step 4: Simplify right side
    9,853.34x = 73,114,219.05
  5. Step 5: Solve for x
    x = 73,114,219.05/9,853.34
  6. Step 6: Final answer
    x = 7,420.25

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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.