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Finding the Fourth Proportional to 9,527.57, 13,148.06 and 5,335.82

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Solution

The fourth proportional to 9,527.57, 13,148.06 and 5,335.82 is: 7,363.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.57 : 13,148.06 = 5,335.82 : x
  2. Step 2: Convert to fraction form
    9,527.57/13,148.06 = 5,335.82/x
  3. Step 3: Cross multiply
    9,527.57x = 13,148.06 × 5,335.82
  4. Step 4: Simplify right side
    9,527.57x = 70,155,681.51
  5. Step 5: Solve for x
    x = 70,155,681.51/9,527.57
  6. Step 6: Final answer
    x = 7,363.44

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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.