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Finding the Fourth Proportional to 9,484.04, 14,211.30 and 6,014

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Solution

The fourth proportional to 9,484.04, 14,211.30 and 6,014 is: 9,011.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,484.04 : 14,211.30 = 6,014 : x
  2. Step 2: Convert to fraction form
    9,484.04/14,211.30 = 6,014/x
  3. Step 3: Cross multiply
    9,484.04x = 14,211.30 × 6,014
  4. Step 4: Simplify right side
    9,484.04x = 85,466,758.20
  5. Step 5: Solve for x
    x = 85,466,758.20/9,484.04
  6. Step 6: Final answer
    x = 9,011.64

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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.