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Finding the Fourth Proportional to 9,530.98, 13,154.34 and 5,554.42

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Solution

The fourth proportional to 9,530.98, 13,154.34 and 5,554.42 is: 7,666.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,530.98 : 13,154.34 = 5,554.42 : x
  2. Step 2: Convert to fraction form
    9,530.98/13,154.34 = 5,554.42/x
  3. Step 3: Cross multiply
    9,530.98x = 13,154.34 × 5,554.42
  4. Step 4: Simplify right side
    9,530.98x = 73,064,729.18
  5. Step 5: Solve for x
    x = 73,064,729.18/9,530.98
  6. Step 6: Final answer
    x = 7,666.02

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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.