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Finding the Fourth Proportional to 9,682.88, 14,518.47 and 4,345.09

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Solution

The fourth proportional to 9,682.88, 14,518.47 and 4,345.09 is: 6,515.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.88 : 14,518.47 = 4,345.09 : x
  2. Step 2: Convert to fraction form
    9,682.88/14,518.47 = 4,345.09/x
  3. Step 3: Cross multiply
    9,682.88x = 14,518.47 × 4,345.09
  4. Step 4: Simplify right side
    9,682.88x = 63,084,058.81
  5. Step 5: Solve for x
    x = 63,084,058.81/9,682.88
  6. Step 6: Final answer
    x = 6,515.01

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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.