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Finding the Fourth Proportional to 9,347.30, 14,008.80 and 8,302.40

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Solution

The fourth proportional to 9,347.30, 14,008.80 and 8,302.40 is: 12,442.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,347.30 : 14,008.80 = 8,302.40 : x
  2. Step 2: Convert to fraction form
    9,347.30/14,008.80 = 8,302.40/x
  3. Step 3: Cross multiply
    9,347.30x = 14,008.80 × 8,302.40
  4. Step 4: Simplify right side
    9,347.30x = 116,306,661.12
  5. Step 5: Solve for x
    x = 116,306,661.12/9,347.30
  6. Step 6: Final answer
    x = 12,442.81

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1.5x scale

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.