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Finding the Fourth Proportional to 9,564.48, 14,355.90 and 7,829.46

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Solution

The fourth proportional to 9,564.48, 14,355.90 and 7,829.46 is: 11,751.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.48 : 14,355.90 = 7,829.46 : x
  2. Step 2: Convert to fraction form
    9,564.48/14,355.90 = 7,829.46/x
  3. Step 3: Cross multiply
    9,564.48x = 14,355.90 × 7,829.46
  4. Step 4: Simplify right side
    9,564.48x = 112,398,944.81
  5. Step 5: Solve for x
    x = 112,398,944.81/9,564.48
  6. Step 6: Final answer
    x = 11,751.70

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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.