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Finding the Fourth Proportional to 9,397.51, 13,988.87 and 9,257.36

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Solution

The fourth proportional to 9,397.51, 13,988.87 and 9,257.36 is: 13,780.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,397.51 : 13,988.87 = 9,257.36 : x
  2. Step 2: Convert to fraction form
    9,397.51/13,988.87 = 9,257.36/x
  3. Step 3: Cross multiply
    9,397.51x = 13,988.87 × 9,257.36
  4. Step 4: Simplify right side
    9,397.51x = 129,500,005.58
  5. Step 5: Solve for x
    x = 129,500,005.58/9,397.51
  6. Step 6: Final answer
    x = 13,780.25

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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.