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Finding the Fourth Proportional to 9,645.48, 14,477.94 and 6,515.64

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Solution

The fourth proportional to 9,645.48, 14,477.94 and 6,515.64 is: 9,780.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.48 : 14,477.94 = 6,515.64 : x
  2. Step 2: Convert to fraction form
    9,645.48/14,477.94 = 6,515.64/x
  3. Step 3: Cross multiply
    9,645.48x = 14,477.94 × 6,515.64
  4. Step 4: Simplify right side
    9,645.48x = 94,333,044.98
  5. Step 5: Solve for x
    x = 94,333,044.98/9,645.48
  6. Step 6: Final answer
    x = 9,780.03

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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.