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Finding the Fourth Proportional to 9,853.97, 13,598.55 and 5,377.76

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Solution

The fourth proportional to 9,853.97, 13,598.55 and 5,377.76 is: 7,421.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.97 : 13,598.55 = 5,377.76 : x
  2. Step 2: Convert to fraction form
    9,853.97/13,598.55 = 5,377.76/x
  3. Step 3: Cross multiply
    9,853.97x = 13,598.55 × 5,377.76
  4. Step 4: Simplify right side
    9,853.97x = 73,129,670.26
  5. Step 5: Solve for x
    x = 73,129,670.26/9,853.97
  6. Step 6: Final answer
    x = 7,421.34

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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.