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Finding the Fourth Proportional to 9,875.60, 14,784.60 and 9,587.60

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Solution

The fourth proportional to 9,875.60, 14,784.60 and 9,587.60 is: 14,353.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875.60 : 14,784.60 = 9,587.60 : x
  2. Step 2: Convert to fraction form
    9,875.60/14,784.60 = 9,587.60/x
  3. Step 3: Cross multiply
    9,875.60x = 14,784.60 × 9,587.60
  4. Step 4: Simplify right side
    9,875.60x = 141,748,830.96
  5. Step 5: Solve for x
    x = 141,748,830.96/9,875.60
  6. Step 6: Final answer
    x = 14,353.44

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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.