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Finding the Fourth Proportional to 9,648.33, 14,465.54 and 6,520.59

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Solution

The fourth proportional to 9,648.33, 14,465.54 and 6,520.59 is: 9,776.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.33 : 14,465.54 = 6,520.59 : x
  2. Step 2: Convert to fraction form
    9,648.33/14,465.54 = 6,520.59/x
  3. Step 3: Cross multiply
    9,648.33x = 14,465.54 × 6,520.59
  4. Step 4: Simplify right side
    9,648.33x = 94,323,822.87
  5. Step 5: Solve for x
    x = 94,323,822.87/9,648.33
  6. Step 6: Final answer
    x = 9,776.18

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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.