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Finding the Fourth Proportional to 10,095.36, 15,133.67 and 9,264.84

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Solution

The fourth proportional to 10,095.36, 15,133.67 and 9,264.84 is: 13,888.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,095.36 : 15,133.67 = 9,264.84 : x
  2. Step 2: Convert to fraction form
    10,095.36/15,133.67 = 9,264.84/x
  3. Step 3: Cross multiply
    10,095.36x = 15,133.67 × 9,264.84
  4. Step 4: Simplify right side
    10,095.36x = 140,211,031.16
  5. Step 5: Solve for x
    x = 140,211,031.16/10,095.36
  6. Step 6: Final answer
    x = 13,888.66

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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.