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Finding the Fourth Proportional to 9,071.58, 13,607.37 and 2,497.83

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Solution

The fourth proportional to 9,071.58, 13,607.37 and 2,497.83 is: 3,746.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,071.58 : 13,607.37 = 2,497.83 : x
  2. Step 2: Convert to fraction form
    9,071.58/13,607.37 = 2,497.83/x
  3. Step 3: Cross multiply
    9,071.58x = 13,607.37 × 2,497.83
  4. Step 4: Simplify right side
    9,071.58x = 33,988,897.01
  5. Step 5: Solve for x
    x = 33,988,897.01/9,071.58
  6. Step 6: Final answer
    x = 3,746.75

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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.