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Finding the Fourth Proportional to 9,731.39, 14,569.54 and 7,565.45

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Solution

The fourth proportional to 9,731.39, 14,569.54 and 7,565.45 is: 11,326.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731.39 : 14,569.54 = 7,565.45 : x
  2. Step 2: Convert to fraction form
    9,731.39/14,569.54 = 7,565.45/x
  3. Step 3: Cross multiply
    9,731.39x = 14,569.54 × 7,565.45
  4. Step 4: Simplify right side
    9,731.39x = 110,225,034.63
  5. Step 5: Solve for x
    x = 110,225,034.63/9,731.39
  6. Step 6: Final answer
    x = 11,326.76

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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.