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Finding the Fourth Proportional to 9,465.76, 13,053.36 and 7,472.32

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Solution

The fourth proportional to 9,465.76, 13,053.36 and 7,472.32 is: 10,304.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465.76 : 13,053.36 = 7,472.32 : x
  2. Step 2: Convert to fraction form
    9,465.76/13,053.36 = 7,472.32/x
  3. Step 3: Cross multiply
    9,465.76x = 13,053.36 × 7,472.32
  4. Step 4: Simplify right side
    9,465.76x = 97,538,883.00
  5. Step 5: Solve for x
    x = 97,538,883.00/9,465.76
  6. Step 6: Final answer
    x = 10,304.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.