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Finding the Fourth Proportional to 9,852.52, 13,596.47 and 6,315.74

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Solution

The fourth proportional to 9,852.52, 13,596.47 and 6,315.74 is: 8,715.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.52 : 13,596.47 = 6,315.74 : x
  2. Step 2: Convert to fraction form
    9,852.52/13,596.47 = 6,315.74/x
  3. Step 3: Cross multiply
    9,852.52x = 13,596.47 × 6,315.74
  4. Step 4: Simplify right side
    9,852.52x = 85,871,780.07
  5. Step 5: Solve for x
    x = 85,871,780.07/9,852.52
  6. Step 6: Final answer
    x = 8,715.72

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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.