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Finding the Fourth Proportional to 9,322.70, 13,988.10 and 4,705.70

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Solution

The fourth proportional to 9,322.70, 13,988.10 and 4,705.70 is: 7,060.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322.70 : 13,988.10 = 4,705.70 : x
  2. Step 2: Convert to fraction form
    9,322.70/13,988.10 = 4,705.70/x
  3. Step 3: Cross multiply
    9,322.70x = 13,988.10 × 4,705.70
  4. Step 4: Simplify right side
    9,322.70x = 65,823,802.17
  5. Step 5: Solve for x
    x = 65,823,802.17/9,322.70
  6. Step 6: Final answer
    x = 7,060.59

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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.