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Finding the Fourth Proportional to 9,641.60, 14,446.20 and 4,700.60

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Solution

The fourth proportional to 9,641.60, 14,446.20 and 4,700.60 is: 7,043.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.60 : 14,446.20 = 4,700.60 : x
  2. Step 2: Convert to fraction form
    9,641.60/14,446.20 = 4,700.60/x
  3. Step 3: Cross multiply
    9,641.60x = 14,446.20 × 4,700.60
  4. Step 4: Simplify right side
    9,641.60x = 67,905,807.72
  5. Step 5: Solve for x
    x = 67,905,807.72/9,641.60
  6. Step 6: Final answer
    x = 7,043.00

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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.