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Finding the Fourth Proportional to 9,582.13, 14,376.98 and 6,294.61

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Solution

The fourth proportional to 9,582.13, 14,376.98 and 6,294.61 is: 9,444.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.13 : 14,376.98 = 6,294.61 : x
  2. Step 2: Convert to fraction form
    9,582.13/14,376.98 = 6,294.61/x
  3. Step 3: Cross multiply
    9,582.13x = 14,376.98 × 6,294.61
  4. Step 4: Simplify right side
    9,582.13x = 90,497,482.08
  5. Step 5: Solve for x
    x = 90,497,482.08/9,582.13
  6. Step 6: Final answer
    x = 9,444.40

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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.