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Finding the Fourth Proportional to 9,707.31, 14,526.95 and 7,236

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Solution

The fourth proportional to 9,707.31, 14,526.95 and 7,236 is: 10,828.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.31 : 14,526.95 = 7,236 : x
  2. Step 2: Convert to fraction form
    9,707.31/14,526.95 = 7,236/x
  3. Step 3: Cross multiply
    9,707.31x = 14,526.95 × 7,236
  4. Step 4: Simplify right side
    9,707.31x = 105,116,974.02
  5. Step 5: Solve for x
    x = 105,116,974.02/9,707.31
  6. Step 6: Final answer
    x = 10,828.64

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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.