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Finding the Fourth Proportional to 9,686.79, 13,366.62 and 5,438.07

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Solution

The fourth proportional to 9,686.79, 13,366.62 and 5,438.07 is: 7,503.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.79 : 13,366.62 = 5,438.07 : x
  2. Step 2: Convert to fraction form
    9,686.79/13,366.62 = 5,438.07/x
  3. Step 3: Cross multiply
    9,686.79x = 13,366.62 × 5,438.07
  4. Step 4: Simplify right side
    9,686.79x = 72,688,615.22
  5. Step 5: Solve for x
    x = 72,688,615.22/9,686.79
  6. Step 6: Final answer
    x = 7,503.89

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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.