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Finding the Fourth Proportional to 9,829.55, 13,569.69 and 7,701.47

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Solution

The fourth proportional to 9,829.55, 13,569.69 and 7,701.47 is: 10,631.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.55 : 13,569.69 = 7,701.47 : x
  2. Step 2: Convert to fraction form
    9,829.55/13,569.69 = 7,701.47/x
  3. Step 3: Cross multiply
    9,829.55x = 13,569.69 × 7,701.47
  4. Step 4: Simplify right side
    9,829.55x = 104,506,492.60
  5. Step 5: Solve for x
    x = 104,506,492.60/9,829.55
  6. Step 6: Final answer
    x = 10,631.87

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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.