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Finding the Fourth Proportional to 9,623.04, 14,416 and 6,326.24

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Solution

The fourth proportional to 9,623.04, 14,416 and 6,326.24 is: 9,477.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,623.04 : 14,416 = 6,326.24 : x
  2. Step 2: Convert to fraction form
    9,623.04/14,416 = 6,326.24/x
  3. Step 3: Cross multiply
    9,623.04x = 14,416 × 6,326.24
  4. Step 4: Simplify right side
    9,623.04x = 91,199,075.84
  5. Step 5: Solve for x
    x = 91,199,075.84/9,623.04
  6. Step 6: Final answer
    x = 9,477.16

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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.