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Finding the Fourth Proportional to 9,392.66, 14,095.84 and 7,565.84

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Solution

The fourth proportional to 9,392.66, 14,095.84 and 7,565.84 is: 11,354.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,392.66 : 14,095.84 = 7,565.84 : x
  2. Step 2: Convert to fraction form
    9,392.66/14,095.84 = 7,565.84/x
  3. Step 3: Cross multiply
    9,392.66x = 14,095.84 × 7,565.84
  4. Step 4: Simplify right side
    9,392.66x = 106,646,870.11
  5. Step 5: Solve for x
    x = 106,646,870.11/9,392.66
  6. Step 6: Final answer
    x = 11,354.28

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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.