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Finding the Fourth Proportional to 9,421.04, 13,000.50 and 5,229

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Solution

The fourth proportional to 9,421.04, 13,000.50 and 5,229 is: 7,215.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,421.04 : 13,000.50 = 5,229 : x
  2. Step 2: Convert to fraction form
    9,421.04/13,000.50 = 5,229/x
  3. Step 3: Cross multiply
    9,421.04x = 13,000.50 × 5,229
  4. Step 4: Simplify right side
    9,421.04x = 67,979,614.50
  5. Step 5: Solve for x
    x = 67,979,614.50/9,421.04
  6. Step 6: Final answer
    x = 7,215.72

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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.