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Finding the Fourth Proportional to 9,256.23, 13,852.04 and 7,570.87

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Solution

The fourth proportional to 9,256.23, 13,852.04 and 7,570.87 is: 11,329.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.23 : 13,852.04 = 7,570.87 : x
  2. Step 2: Convert to fraction form
    9,256.23/13,852.04 = 7,570.87/x
  3. Step 3: Cross multiply
    9,256.23x = 13,852.04 × 7,570.87
  4. Step 4: Simplify right side
    9,256.23x = 104,871,994.07
  5. Step 5: Solve for x
    x = 104,871,994.07/9,256.23
  6. Step 6: Final answer
    x = 11,329.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.