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Finding the Fourth Proportional to 9,984, 14,973.45 and 2,962.38

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Solution

The fourth proportional to 9,984, 14,973.45 and 2,962.38 is: 4,442.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984 : 14,973.45 = 2,962.38 : x
  2. Step 2: Convert to fraction form
    9,984/14,973.45 = 2,962.38/x
  3. Step 3: Cross multiply
    9,984x = 14,973.45 × 2,962.38
  4. Step 4: Simplify right side
    9,984x = 44,357,048.81
  5. Step 5: Solve for x
    x = 44,357,048.81/9,984
  6. Step 6: Final answer
    x = 4,442.81

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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.