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Finding the Fourth Proportional to 9,870.42, 13,620.93 and 5,394.18

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Solution

The fourth proportional to 9,870.42, 13,620.93 and 5,394.18 is: 7,443.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870.42 : 13,620.93 = 5,394.18 : x
  2. Step 2: Convert to fraction form
    9,870.42/13,620.93 = 5,394.18/x
  3. Step 3: Cross multiply
    9,870.42x = 13,620.93 × 5,394.18
  4. Step 4: Simplify right side
    9,870.42x = 73,473,748.19
  5. Step 5: Solve for x
    x = 73,473,748.19/9,870.42
  6. Step 6: Final answer
    x = 7,443.83

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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.