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Finding the Fourth Proportional to 9,358.56, 14,038.08 and 3,206.88

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Solution

The fourth proportional to 9,358.56, 14,038.08 and 3,206.88 is: 4,810.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,358.56 : 14,038.08 = 3,206.88 : x
  2. Step 2: Convert to fraction form
    9,358.56/14,038.08 = 3,206.88/x
  3. Step 3: Cross multiply
    9,358.56x = 14,038.08 × 3,206.88
  4. Step 4: Simplify right side
    9,358.56x = 45,018,437.99
  5. Step 5: Solve for x
    x = 45,018,437.99/9,358.56
  6. Step 6: Final answer
    x = 4,810.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.