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Finding the Fourth Proportional to 10,686.21, 14,751.03 and 9,565.14

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Solution

The fourth proportional to 10,686.21, 14,751.03 and 9,565.14 is: 13,203.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686.21 : 14,751.03 = 9,565.14 : x
  2. Step 2: Convert to fraction form
    10,686.21/14,751.03 = 9,565.14/x
  3. Step 3: Cross multiply
    10,686.21x = 14,751.03 × 9,565.14
  4. Step 4: Simplify right side
    10,686.21x = 141,095,667.09
  5. Step 5: Solve for x
    x = 141,095,667.09/10,686.21
  6. Step 6: Final answer
    x = 13,203.53

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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.