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Finding the Fourth Proportional to 9,612.51, 14,421.09 and 4,681.02

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Solution

The fourth proportional to 9,612.51, 14,421.09 and 4,681.02 is: 7,022.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.51 : 14,421.09 = 4,681.02 : x
  2. Step 2: Convert to fraction form
    9,612.51/14,421.09 = 4,681.02/x
  3. Step 3: Cross multiply
    9,612.51x = 14,421.09 × 4,681.02
  4. Step 4: Simplify right side
    9,612.51x = 67,505,387.31
  5. Step 5: Solve for x
    x = 67,505,387.31/9,612.51
  6. Step 6: Final answer
    x = 7,022.66

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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.