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Finding the Fourth Proportional to 9,775.24, 14,665.14 and 3,534.16

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Solution

The fourth proportional to 9,775.24, 14,665.14 and 3,534.16 is: 5,302.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.24 : 14,665.14 = 3,534.16 : x
  2. Step 2: Convert to fraction form
    9,775.24/14,665.14 = 3,534.16/x
  3. Step 3: Cross multiply
    9,775.24x = 14,665.14 × 3,534.16
  4. Step 4: Simplify right side
    9,775.24x = 51,828,951.18
  5. Step 5: Solve for x
    x = 51,828,951.18/9,775.24
  6. Step 6: Final answer
    x = 5,302.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.