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Finding the Fourth Proportional to 9,878.96, 14,691.38 and 9,567.51

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Solution

The fourth proportional to 9,878.96, 14,691.38 and 9,567.51 is: 14,228.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.96 : 14,691.38 = 9,567.51 : x
  2. Step 2: Convert to fraction form
    9,878.96/14,691.38 = 9,567.51/x
  3. Step 3: Cross multiply
    9,878.96x = 14,691.38 × 9,567.51
  4. Step 4: Simplify right side
    9,878.96x = 140,559,877.23
  5. Step 5: Solve for x
    x = 140,559,877.23/9,878.96
  6. Step 6: Final answer
    x = 14,228.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.