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Finding the Fourth Proportional to 9,534, 14,284.32 and 6,614.16

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Solution

The fourth proportional to 9,534, 14,284.32 and 6,614.16 is: 9,909.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,534 : 14,284.32 = 6,614.16 : x
  2. Step 2: Convert to fraction form
    9,534/14,284.32 = 6,614.16/x
  3. Step 3: Cross multiply
    9,534x = 14,284.32 × 6,614.16
  4. Step 4: Simplify right side
    9,534x = 94,478,777.97
  5. Step 5: Solve for x
    x = 94,478,777.97/9,534
  6. Step 6: Final answer
    x = 9,909.67

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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.