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Finding the Fourth Proportional to 9,497.34, 13,110.93 and 6,670.71

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Solution

The fourth proportional to 9,497.34, 13,110.93 and 6,670.71 is: 9,208.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.34 : 13,110.93 = 6,670.71 : x
  2. Step 2: Convert to fraction form
    9,497.34/13,110.93 = 6,670.71/x
  3. Step 3: Cross multiply
    9,497.34x = 13,110.93 × 6,670.71
  4. Step 4: Simplify right side
    9,497.34x = 87,459,211.86
  5. Step 5: Solve for x
    x = 87,459,211.86/9,497.34
  6. Step 6: Final answer
    x = 9,208.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.