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Finding the Fourth Proportional to 10,566.40, 14,588.76 and 9,443.74

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Solution

The fourth proportional to 10,566.40, 14,588.76 and 9,443.74 is: 13,038.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,566.40 : 14,588.76 = 9,443.74 : x
  2. Step 2: Convert to fraction form
    10,566.40/14,588.76 = 9,443.74/x
  3. Step 3: Cross multiply
    10,566.40x = 14,588.76 × 9,443.74
  4. Step 4: Simplify right side
    10,566.40x = 137,772,456.36
  5. Step 5: Solve for x
    x = 137,772,456.36/10,566.40
  6. Step 6: Final answer
    x = 13,038.73

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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.