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Finding the Fourth Proportional to 9,565.37, 14,349.53 and 4,882.84

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Solution

The fourth proportional to 9,565.37, 14,349.53 and 4,882.84 is: 7,325.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.37 : 14,349.53 = 4,882.84 : x
  2. Step 2: Convert to fraction form
    9,565.37/14,349.53 = 4,882.84/x
  3. Step 3: Cross multiply
    9,565.37x = 14,349.53 × 4,882.84
  4. Step 4: Simplify right side
    9,565.37x = 70,066,387.32
  5. Step 5: Solve for x
    x = 70,066,387.32/9,565.37
  6. Step 6: Final answer
    x = 7,325.01

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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.