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Finding the Fourth Proportional to 6,909.30, 9,533.70 and 6,559.11

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Solution

The fourth proportional to 6,909.30, 9,533.70 and 6,559.11 is: 9,050.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.30 : 9,533.70 = 6,559.11 : x
  2. Step 2: Convert to fraction form
    6,909.30/9,533.70 = 6,559.11/x
  3. Step 3: Cross multiply
    6,909.30x = 9,533.70 × 6,559.11
  4. Step 4: Simplify right side
    6,909.30x = 62,532,587.01
  5. Step 5: Solve for x
    x = 62,532,587.01/6,909.30
  6. Step 6: Final answer
    x = 9,050.50

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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.