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Finding the Fourth Proportional to 9,586.83, 13,228.89 and 7,070.30

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Solution

The fourth proportional to 9,586.83, 13,228.89 and 7,070.30 is: 9,756.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.83 : 13,228.89 = 7,070.30 : x
  2. Step 2: Convert to fraction form
    9,586.83/13,228.89 = 7,070.30/x
  3. Step 3: Cross multiply
    9,586.83x = 13,228.89 × 7,070.30
  4. Step 4: Simplify right side
    9,586.83x = 93,532,177.92
  5. Step 5: Solve for x
    x = 93,532,177.92/9,586.83
  6. Step 6: Final answer
    x = 9,756.32

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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.