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Finding the Fourth Proportional to 10,686.44, 14,751.40 and 9,565.40

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Solution

The fourth proportional to 10,686.44, 14,751.40 and 9,565.40 is: 13,203.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686.44 : 14,751.40 = 9,565.40 : x
  2. Step 2: Convert to fraction form
    10,686.44/14,751.40 = 9,565.40/x
  3. Step 3: Cross multiply
    10,686.44x = 14,751.40 × 9,565.40
  4. Step 4: Simplify right side
    10,686.44x = 141,102,967.80
  5. Step 5: Solve for x
    x = 141,102,967.80/10,686.44
  6. Step 6: Final answer
    x = 13,203.93

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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.