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Finding the Fourth Proportional to 9,802.60, 14,703.90 and 8,996.20

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Solution

The fourth proportional to 9,802.60, 14,703.90 and 8,996.20 is: 13,494.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.60 : 14,703.90 = 8,996.20 : x
  2. Step 2: Convert to fraction form
    9,802.60/14,703.90 = 8,996.20/x
  3. Step 3: Cross multiply
    9,802.60x = 14,703.90 × 8,996.20
  4. Step 4: Simplify right side
    9,802.60x = 132,279,225.18
  5. Step 5: Solve for x
    x = 132,279,225.18/9,802.60
  6. Step 6: Final answer
    x = 13,494.30

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Similar ratio
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1.5x scale

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.