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Finding the Fourth Proportional to 9,386.24, 12,958.08 and 7,520

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Solution

The fourth proportional to 9,386.24, 12,958.08 and 7,520 is: 10,381.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.24 : 12,958.08 = 7,520 : x
  2. Step 2: Convert to fraction form
    9,386.24/12,958.08 = 7,520/x
  3. Step 3: Cross multiply
    9,386.24x = 12,958.08 × 7,520
  4. Step 4: Simplify right side
    9,386.24x = 97,444,761.60
  5. Step 5: Solve for x
    x = 97,444,761.60/9,386.24
  6. Step 6: Final answer
    x = 10,381.66

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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.