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Finding the Fourth Proportional to 9,670, 14,482.51 and 9,403.95

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Solution

The fourth proportional to 9,670, 14,482.51 and 9,403.95 is: 14,084.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670 : 14,482.51 = 9,403.95 : x
  2. Step 2: Convert to fraction form
    9,670/14,482.51 = 9,403.95/x
  3. Step 3: Cross multiply
    9,670x = 14,482.51 × 9,403.95
  4. Step 4: Simplify right side
    9,670x = 136,192,752.89
  5. Step 5: Solve for x
    x = 136,192,752.89/9,670
  6. Step 6: Final answer
    x = 14,084.05

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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.