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Finding the Fourth Proportional to 9,543.61, 14,323.11 and 6,580.23

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Solution

The fourth proportional to 9,543.61, 14,323.11 and 6,580.23 is: 9,875.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543.61 : 14,323.11 = 6,580.23 : x
  2. Step 2: Convert to fraction form
    9,543.61/14,323.11 = 6,580.23/x
  3. Step 3: Cross multiply
    9,543.61x = 14,323.11 × 6,580.23
  4. Step 4: Simplify right side
    9,543.61x = 94,249,358.12
  5. Step 5: Solve for x
    x = 94,249,358.12/9,543.61
  6. Step 6: Final answer
    x = 9,875.65

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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.