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Finding the Fourth Proportional to 9,528, 14,283.76 and 6,745.92

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Solution

The fourth proportional to 9,528, 14,283.76 and 6,745.92 is: 10,113.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,528 : 14,283.76 = 6,745.92 : x
  2. Step 2: Convert to fraction form
    9,528/14,283.76 = 6,745.92/x
  3. Step 3: Cross multiply
    9,528x = 14,283.76 × 6,745.92
  4. Step 4: Simplify right side
    9,528x = 96,357,102.26
  5. Step 5: Solve for x
    x = 96,357,102.26/9,528
  6. Step 6: Final answer
    x = 10,113.05

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Why These Related Problems?

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