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Finding the Fourth Proportional to 9,564.90, 14,349.32 and 4,014.98

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Solution

The fourth proportional to 9,564.90, 14,349.32 and 4,014.98 is: 6,023.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.90 : 14,349.32 = 4,014.98 : x
  2. Step 2: Convert to fraction form
    9,564.90/14,349.32 = 4,014.98/x
  3. Step 3: Cross multiply
    9,564.90x = 14,349.32 × 4,014.98
  4. Step 4: Simplify right side
    9,564.90x = 57,612,209.86
  5. Step 5: Solve for x
    x = 57,612,209.86/9,564.90
  6. Step 6: Final answer
    x = 6,023.30

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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.