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Finding the Fourth Proportional to 9,829.35, 13,580.43 and 6,858.45

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Solution

The fourth proportional to 9,829.35, 13,580.43 and 6,858.45 is: 9,475.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.35 : 13,580.43 = 6,858.45 : x
  2. Step 2: Convert to fraction form
    9,829.35/13,580.43 = 6,858.45/x
  3. Step 3: Cross multiply
    9,829.35x = 13,580.43 × 6,858.45
  4. Step 4: Simplify right side
    9,829.35x = 93,140,700.13
  5. Step 5: Solve for x
    x = 93,140,700.13/9,829.35
  6. Step 6: Final answer
    x = 9,475.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.