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Finding the Fourth Proportional to 9,594.02, 14,381.30 and 4,659.50

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Solution

The fourth proportional to 9,594.02, 14,381.30 and 4,659.50 is: 6,984.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.02 : 14,381.30 = 4,659.50 : x
  2. Step 2: Convert to fraction form
    9,594.02/14,381.30 = 4,659.50/x
  3. Step 3: Cross multiply
    9,594.02x = 14,381.30 × 4,659.50
  4. Step 4: Simplify right side
    9,594.02x = 67,009,667.35
  5. Step 5: Solve for x
    x = 67,009,667.35/9,594.02
  6. Step 6: Final answer
    x = 6,984.52

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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.