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Finding the Fourth Proportional to 9,130.95, 12,605.85 and 5,947.11

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Solution

The fourth proportional to 9,130.95, 12,605.85 and 5,947.11 is: 8,210.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.95 : 12,605.85 = 5,947.11 : x
  2. Step 2: Convert to fraction form
    9,130.95/12,605.85 = 5,947.11/x
  3. Step 3: Cross multiply
    9,130.95x = 12,605.85 × 5,947.11
  4. Step 4: Simplify right side
    9,130.95x = 74,968,376.59
  5. Step 5: Solve for x
    x = 74,968,376.59/9,130.95
  6. Step 6: Final answer
    x = 8,210.36

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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.