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Finding the Fourth Proportional to 9,775.13, 14,659.59 and 3,534.32

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Solution

The fourth proportional to 9,775.13, 14,659.59 and 3,534.32 is: 5,300.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.13 : 14,659.59 = 3,534.32 : x
  2. Step 2: Convert to fraction form
    9,775.13/14,659.59 = 3,534.32/x
  3. Step 3: Cross multiply
    9,775.13x = 14,659.59 × 3,534.32
  4. Step 4: Simplify right side
    9,775.13x = 51,811,608.83
  5. Step 5: Solve for x
    x = 51,811,608.83/9,775.13
  6. Step 6: Final answer
    x = 5,300.35

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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.