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Finding the Fourth Proportional to 9,394.08, 12,966.16 and 5,810.08

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Solution

The fourth proportional to 9,394.08, 12,966.16 and 5,810.08 is: 8,019.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,394.08 : 12,966.16 = 5,810.08 : x
  2. Step 2: Convert to fraction form
    9,394.08/12,966.16 = 5,810.08/x
  3. Step 3: Cross multiply
    9,394.08x = 12,966.16 × 5,810.08
  4. Step 4: Simplify right side
    9,394.08x = 75,334,426.89
  5. Step 5: Solve for x
    x = 75,334,426.89/9,394.08
  6. Step 6: Final answer
    x = 8,019.35

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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.