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Finding the Fourth Proportional to 9,417.77, 14,133.42 and 7,590.95

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Solution

The fourth proportional to 9,417.77, 14,133.42 and 7,590.95 is: 11,391.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,417.77 : 14,133.42 = 7,590.95 : x
  2. Step 2: Convert to fraction form
    9,417.77/14,133.42 = 7,590.95/x
  3. Step 3: Cross multiply
    9,417.77x = 14,133.42 × 7,590.95
  4. Step 4: Simplify right side
    9,417.77x = 107,286,013.88
  5. Step 5: Solve for x
    x = 107,286,013.88/9,417.77
  6. Step 6: Final answer
    x = 11,391.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.