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Finding the Fourth Proportional to 9,720.33, 14,595.08 and 5,565.03

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Solution

The fourth proportional to 9,720.33, 14,595.08 and 5,565.03 is: 8,355.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720.33 : 14,595.08 = 5,565.03 : x
  2. Step 2: Convert to fraction form
    9,720.33/14,595.08 = 5,565.03/x
  3. Step 3: Cross multiply
    9,720.33x = 14,595.08 × 5,565.03
  4. Step 4: Simplify right side
    9,720.33x = 81,222,030.23
  5. Step 5: Solve for x
    x = 81,222,030.23/9,720.33
  6. Step 6: Final answer
    x = 8,355.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.