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Finding the Fourth Proportional to 9,984.32, 14,980.01 and 4,437.17

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Solution

The fourth proportional to 9,984.32, 14,980.01 and 4,437.17 is: 6,657.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.32 : 14,980.01 = 4,437.17 : x
  2. Step 2: Convert to fraction form
    9,984.32/14,980.01 = 4,437.17/x
  3. Step 3: Cross multiply
    9,984.32x = 14,980.01 × 4,437.17
  4. Step 4: Simplify right side
    9,984.32x = 66,468,753.89
  5. Step 5: Solve for x
    x = 66,468,753.89/9,984.32
  6. Step 6: Final answer
    x = 6,657.32

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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.