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Finding the Fourth Proportional to 9,071.85, 13,607.42 and 2,497.86

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Solution

The fourth proportional to 9,071.85, 13,607.42 and 2,497.86 is: 3,746.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,071.85 : 13,607.42 = 2,497.86 : x
  2. Step 2: Convert to fraction form
    9,071.85/13,607.42 = 2,497.86/x
  3. Step 3: Cross multiply
    9,071.85x = 13,607.42 × 2,497.86
  4. Step 4: Simplify right side
    9,071.85x = 33,989,417.63
  5. Step 5: Solve for x
    x = 33,989,417.63/9,071.85
  6. Step 6: Final answer
    x = 3,746.69

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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.