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Finding the Fourth Proportional to 9,248.81, 12,758.18 and 5,709.51

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Solution

The fourth proportional to 9,248.81, 12,758.18 and 5,709.51 is: 7,875.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,248.81 : 12,758.18 = 5,709.51 : x
  2. Step 2: Convert to fraction form
    9,248.81/12,758.18 = 5,709.51/x
  3. Step 3: Cross multiply
    9,248.81x = 12,758.18 × 5,709.51
  4. Step 4: Simplify right side
    9,248.81x = 72,842,927.74
  5. Step 5: Solve for x
    x = 72,842,927.74/9,248.81
  6. Step 6: Final answer
    x = 7,875.93

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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.