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Finding the Fourth Proportional to 9,641.13, 13,312.95 and 6,814.74

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Solution

The fourth proportional to 9,641.13, 13,312.95 and 6,814.74 is: 9,410.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.13 : 13,312.95 = 6,814.74 : x
  2. Step 2: Convert to fraction form
    9,641.13/13,312.95 = 6,814.74/x
  3. Step 3: Cross multiply
    9,641.13x = 13,312.95 × 6,814.74
  4. Step 4: Simplify right side
    9,641.13x = 90,724,292.88
  5. Step 5: Solve for x
    x = 90,724,292.88/9,641.13
  6. Step 6: Final answer
    x = 9,410.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.