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Finding the Fourth Proportional to 9,071.34, 13,607.19 and 2,497.74

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Solution

The fourth proportional to 9,071.34, 13,607.19 and 2,497.74 is: 3,746.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,071.34 : 13,607.19 = 2,497.74 : x
  2. Step 2: Convert to fraction form
    9,071.34/13,607.19 = 2,497.74/x
  3. Step 3: Cross multiply
    9,071.34x = 13,607.19 × 2,497.74
  4. Step 4: Simplify right side
    9,071.34x = 33,987,222.75
  5. Step 5: Solve for x
    x = 33,987,222.75/9,071.34
  6. Step 6: Final answer
    x = 3,746.66

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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.