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Finding the Fourth Proportional to 9,686.60, 13,368.51 and 5,438.30

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Solution

The fourth proportional to 9,686.60, 13,368.51 and 5,438.30 is: 7,505.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.60 : 13,368.51 = 5,438.30 : x
  2. Step 2: Convert to fraction form
    9,686.60/13,368.51 = 5,438.30/x
  3. Step 3: Cross multiply
    9,686.60x = 13,368.51 × 5,438.30
  4. Step 4: Simplify right side
    9,686.60x = 72,701,967.93
  5. Step 5: Solve for x
    x = 72,701,967.93/9,686.60
  6. Step 6: Final answer
    x = 7,505.42

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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.