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Finding the Fourth Proportional to 9,354.84, 14,038.44 and 4,975.44

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Solution

The fourth proportional to 9,354.84, 14,038.44 and 4,975.44 is: 7,466.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.84 : 14,038.44 = 4,975.44 : x
  2. Step 2: Convert to fraction form
    9,354.84/14,038.44 = 4,975.44/x
  3. Step 3: Cross multiply
    9,354.84x = 14,038.44 × 4,975.44
  4. Step 4: Simplify right side
    9,354.84x = 69,847,415.91
  5. Step 5: Solve for x
    x = 69,847,415.91/9,354.84
  6. Step 6: Final answer
    x = 7,466.45

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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.