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Finding the Fourth Proportional to 9,338.95, 12,904.14 and 7,465.99

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Solution

The fourth proportional to 9,338.95, 12,904.14 and 7,465.99 is: 10,316.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,338.95 : 12,904.14 = 7,465.99 : x
  2. Step 2: Convert to fraction form
    9,338.95/12,904.14 = 7,465.99/x
  3. Step 3: Cross multiply
    9,338.95x = 12,904.14 × 7,465.99
  4. Step 4: Simplify right side
    9,338.95x = 96,342,180.20
  5. Step 5: Solve for x
    x = 96,342,180.20/9,338.95
  6. Step 6: Final answer
    x = 10,316.17

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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.