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Finding the Fourth Proportional to 10,417.74, 14,373.63 and 6,693.90

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Solution

The fourth proportional to 10,417.74, 14,373.63 and 6,693.90 is: 9,235.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,417.74 : 14,373.63 = 6,693.90 : x
  2. Step 2: Convert to fraction form
    10,417.74/14,373.63 = 6,693.90/x
  3. Step 3: Cross multiply
    10,417.74x = 14,373.63 × 6,693.90
  4. Step 4: Simplify right side
    10,417.74x = 96,215,641.86
  5. Step 5: Solve for x
    x = 96,215,641.86/10,417.74
  6. Step 6: Final answer
    x = 9,235.75

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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.