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Finding the Fourth Proportional to 10,648.76, 14,703.94 and 9,527.72

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Solution

The fourth proportional to 10,648.76, 14,703.94 and 9,527.72 is: 13,155.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,648.76 : 14,703.94 = 9,527.72 : x
  2. Step 2: Convert to fraction form
    10,648.76/14,703.94 = 9,527.72/x
  3. Step 3: Cross multiply
    10,648.76x = 14,703.94 × 9,527.72
  4. Step 4: Simplify right side
    10,648.76x = 140,095,023.22
  5. Step 5: Solve for x
    x = 140,095,023.22/10,648.76
  6. Step 6: Final answer
    x = 13,155.99

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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.