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Finding the Fourth Proportional to 9,353.75, 12,909.83 and 5,577.15

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Solution

The fourth proportional to 9,353.75, 12,909.83 and 5,577.15 is: 7,697.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,353.75 : 12,909.83 = 5,577.15 : x
  2. Step 2: Convert to fraction form
    9,353.75/12,909.83 = 5,577.15/x
  3. Step 3: Cross multiply
    9,353.75x = 12,909.83 × 5,577.15
  4. Step 4: Simplify right side
    9,353.75x = 72,000,030.50
  5. Step 5: Solve for x
    x = 72,000,030.50/9,353.75
  6. Step 6: Final answer
    x = 7,697.45

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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.