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Finding the Fourth Proportional to 9,831.84, 13,569.84 and 6,468.72

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Solution

The fourth proportional to 9,831.84, 13,569.84 and 6,468.72 is: 8,928.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831.84 : 13,569.84 = 6,468.72 : x
  2. Step 2: Convert to fraction form
    9,831.84/13,569.84 = 6,468.72/x
  3. Step 3: Cross multiply
    9,831.84x = 13,569.84 × 6,468.72
  4. Step 4: Simplify right side
    9,831.84x = 87,779,495.40
  5. Step 5: Solve for x
    x = 87,779,495.40/9,831.84
  6. Step 6: Final answer
    x = 8,928.08

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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.