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Finding the Fourth Proportional to 9,754.02, 13,460.54 and 5,505.98

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Solution

The fourth proportional to 9,754.02, 13,460.54 and 5,505.98 is: 7,598.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.02 : 13,460.54 = 5,505.98 : x
  2. Step 2: Convert to fraction form
    9,754.02/13,460.54 = 5,505.98/x
  3. Step 3: Cross multiply
    9,754.02x = 13,460.54 × 5,505.98
  4. Step 4: Simplify right side
    9,754.02x = 74,113,369.20
  5. Step 5: Solve for x
    x = 74,113,369.20/9,754.02
  6. Step 6: Final answer
    x = 7,598.24

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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.